{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "88f6e62c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 改为使用 scipy 的 Lomb-Scargle 实现\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import lombscargle\n",
    "from datetime import datetime\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "76f6db55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.19700599746230898"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 重新加载数据\n",
    "df = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result50cm/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 筛选出 r 波段且 calmag 有效的观测点\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "\n",
    "# 转换时间为天数（相对时间）\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 准备数据\n",
    "times = df_r['mjd'].values\n",
    "magnitudes = df_r['calmag'].values\n",
    "errors = df_r['magerr'].values\n",
    "\n",
    "# 频率扫描范围\n",
    "min_period = 0.1  # days\n",
    "max_period = 5.0  # days\n",
    "frequencies = np.linspace(1 / max_period, 1 / min_period, 10000)\n",
    "angular_frequencies = 2 * np.pi * frequencies\n",
    "\n",
    "# 使用 lombscargle 进行周期分析\n",
    "magnitudes_mean_sub = magnitudes - np.mean(magnitudes)\n",
    "power = lombscargle(times, magnitudes_mean_sub, angular_frequencies)\n",
    "\n",
    "# 找到最优周期\n",
    "best_frequency = frequencies[np.argmax(power)]\n",
    "best_period = 1 / best_frequency\n",
    "\n",
    "# 计算相位\n",
    "phases = (times * best_frequency) % 1\n",
    "\n",
    "# 绘图\n",
    "import matplotlib.pyplot as plt\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8))\n",
    "ax1.plot(1 / frequencies, power)\n",
    "ax1.set_xlabel(\"Period (days)\")\n",
    "ax1.set_ylabel(\"Power\")\n",
    "ax1.set_title(f\"Detected Period: {best_period:.4f} days\")\n",
    "\n",
    "ax2.errorbar(phases, magnitudes, yerr=errors, fmt='o', markersize=5, alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(\"Folded Light Curve\")\n",
    "ax2.invert_yaxis()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "best_period\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "23940749",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.24551762747322364"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 筛选出 r 波段且 calmag 有效的观测点\n",
    "df_r = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "\n",
    "# 转换时间为天数（相对时间）\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 准备数据\n",
    "times = df_r['mjd'].values\n",
    "magnitudes = df_r['calmag'].values\n",
    "errors = df_r['magerr'].values\n",
    "\n",
    "# 频率扫描范围\n",
    "min_period = 0.2  # days\n",
    "max_period = 5.0  # days\n",
    "frequencies = np.linspace(1 / max_period, 1 / min_period, 10000)\n",
    "angular_frequencies = 2 * np.pi * frequencies\n",
    "\n",
    "# 使用 lombscargle 进行周期分析\n",
    "magnitudes_mean_sub = magnitudes - np.mean(magnitudes)\n",
    "power = lombscargle(times, magnitudes_mean_sub, angular_frequencies)\n",
    "\n",
    "# 找到最优周期\n",
    "best_frequency = frequencies[np.argmax(power)]\n",
    "best_period = 1 / best_frequency\n",
    "\n",
    "# 计算相位\n",
    "phases = (times * best_frequency) % 1\n",
    "\n",
    "# 绘图\n",
    "import matplotlib.pyplot as plt\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8))\n",
    "ax1.plot(1 / frequencies, power)\n",
    "ax1.set_xlabel(\"Period (days)\")\n",
    "ax1.set_ylabel(\"Power\")\n",
    "ax1.set_title(f\"Detected Period: {best_period:.4f} days\")\n",
    "\n",
    "ax2.errorbar(phases, magnitudes, yerr=errors, fmt='o', markersize=5, alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(\"Folded Light Curve\")\n",
    "ax2.invert_yaxis()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "best_period\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "30ecbbb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8), sharex=True)\n",
    "\n",
    "# r band\n",
    "ax1.errorbar(phases_r_true, df_r['calmag'], yerr=df_r['magerr'], fmt='o', label='r band', color='tab:red', alpha=0.7)\n",
    "ax1.set_ylabel(\"Magnitude\")\n",
    "ax1.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (r-band)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "\n",
    "# g band\n",
    "ax2.errorbar(phases_g_true, df_g['calmag'], yerr=df_g['magerr'], fmt='o', label='g band', color='tab:green', alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (g-band)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e5cb6305",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "53531f98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "# 定义双正弦拟合函数（用于双峰光变曲线）\n",
    "def double_sine(phase, A1, A2, phi1, phi2, offset):\n",
    "    return A1 * np.sin(2 * np.pi * (phase + phi1)) + A2 * np.sin(4 * np.pi * (phase + phi2)) + offset\n",
    "\n",
    "# 对 r 波段进行拟合\n",
    "phase_r = phases_r_true\n",
    "mag_r = df_r['calmag'].values\n",
    "err_r = df_r['magerr'].values\n",
    "\n",
    "# 拟合初始猜测\n",
    "p0 = [0.1, 0.05, 0.0, 0.0, np.mean(mag_r)]\n",
    "\n",
    "# 曲线拟合\n",
    "params_r, _ = curve_fit(double_sine, phase_r, mag_r, p0=p0, sigma=err_r, absolute_sigma=True)\n",
    "\n",
    "# 拟合曲线\n",
    "phase_fit = np.linspace(0, 1, 200)\n",
    "mag_fit_r = double_sine(phase_fit, *params_r)\n",
    "\n",
    "# 绘图：拟合 r 波段光变曲线\n",
    "plt.figure(figsize=(8, 4))\n",
    "plt.errorbar(phase_r, mag_r, yerr=err_r, fmt='o', label='r band data', color='tab:red', alpha=0.7)\n",
    "plt.plot(phase_fit, mag_fit_r, '-', color='black', lw=2, label='Double sine fit')\n",
    "plt.xlabel(\"Phase\")\n",
    "plt.ylabel(\"Magnitude\")\n",
    "plt.title(\"r-band Light Curve with Double Sine Fit\")\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "b139c3b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'拟合成功'"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 对 g 波段进行拟合（点较少，拟合效果可能较弱）\n",
    "phase_g = phases_g_true\n",
    "mag_g = df_g['calmag'].values\n",
    "err_g = df_g['magerr'].values\n",
    "\n",
    "# 拟合初始猜测\n",
    "p0_g = [0.1, 0.05, 0.0, 0.0, np.mean(mag_g)]\n",
    "\n",
    "# 尝试拟合，若失败则捕获异常\n",
    "try:\n",
    "    params_g, _ = curve_fit(double_sine, phase_g, mag_g, p0=p0_g, sigma=err_g, absolute_sigma=True)\n",
    "    mag_fit_g = double_sine(phase_fit, *params_g)\n",
    "\n",
    "    # 绘图：拟合 g 波段光变曲线\n",
    "    plt.figure(figsize=(8, 4))\n",
    "    plt.errorbar(phase_g, mag_g, yerr=err_g, fmt='o', label='g band data', color='tab:green', alpha=0.7)\n",
    "    plt.plot(phase_fit, mag_fit_g, '-', color='black', lw=2, label='Double sine fit')\n",
    "    plt.xlabel(\"Phase\")\n",
    "    plt.ylabel(\"Magnitude\")\n",
    "    plt.title(\"g-band Light Curve with Double Sine Fit\")\n",
    "    plt.gca().invert_yaxis()\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "except Exception as e:\n",
    "    result_g_fit = f\"g波段拟合失败：{e}\"\n",
    "\n",
    "result_g_fit if 'result_g_fit' in locals() else \"拟合成功\"\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5dafd07a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "535bd5bf",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "03d41b3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'i') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "5b331589",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'z') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "d62b5e30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'u') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "5a8cc2d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'v') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "bd956219",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from astropy.time import Time\n",
    "df_uviz=df_uvgr\n",
    "# 预处理：转换时间为 MJD，并对每个 band 单独处理\n",
    "df_uviz_clean = df_uviz[df_uviz['calmag'].notna()].copy()\n",
    "df_uviz_clean['timestamp'] = pd.to_datetime(df_uviz_clean['obs_time'])\n",
    "df_uviz_clean['mjd'] = Time(df_uviz_clean['timestamp']).mjd\n",
    "df_uviz_clean['phase'] = (df_uviz_clean['mjd'] / true_period) % 1\n",
    "\n",
    "# 拆分各波段\n",
    "bands = ['u', 'v', 'i', 'z']\n",
    "band_data = {b: df_uviz_clean[df_uviz_clean['band'] == b] for b in bands}\n",
    "\n",
    "# 绘制多波段相位折叠光变曲线\n",
    "fig, ax = plt.subplots(figsize=(8, 5))\n",
    "colors = {'u': 'purple', 'v': 'blue', 'i': 'green', 'z': 'orange'}\n",
    "\n",
    "for b in bands:\n",
    "    if len(band_data[b]) == 0:\n",
    "        continue\n",
    "    ax.errorbar(band_data[b]['phase'], band_data[b]['calmag'],\n",
    "                yerr=band_data[b]['magerr'], fmt='o', label=f'{b} band',\n",
    "                color=colors[b], alpha=0.7)\n",
    "\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"Magnitude\")\n",
    "ax.set_title(\"Mephisto UVIZ Light Curves (Phase Folded)\")\n",
    "ax.invert_yaxis()\n",
    "ax.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b3fdc4d2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c4b0d57e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "3b9c9c07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 识别离群点的函数\n",
    "def identify_outliers(phases, magnitudes, window=0.1, threshold=3.0):\n",
    "    \"\"\"\n",
    "    基于局部标准差识别离群点\n",
    "    \n",
    "    参数:\n",
    "    phases: 相位值数组\n",
    "    magnitudes: 星等数组\n",
    "    window: 局部窗口大小\n",
    "    threshold: 离群值判定阈值(标准差倍数)\n",
    "    \n",
    "    返回:\n",
    "    mask: 布尔数组，True表示对应点是离群点\n",
    "    \"\"\"\n",
    "    mask = np.zeros_like(phases, dtype=bool)\n",
    "    \n",
    "    # 对每个点，检查其局部邻域内的标准差\n",
    "    for i in range(len(phases)):\n",
    "        # 定义局部窗口\n",
    "        phase_min = phases[i] - window/2\n",
    "        phase_max = phases[i] + window/2\n",
    "        \n",
    "        # 处理相位边界\n",
    "        if phase_min < 0:\n",
    "            local_indices = np.where(((phases >= phase_min + 1) | (phases <= phase_max)))[0]\n",
    "        elif phase_max > 1:\n",
    "            local_indices = np.where(((phases >= phase_min) | (phases <= phase_max - 1)))[0]\n",
    "        else:\n",
    "            local_indices = np.where((phases >= phase_min) & (phases <= phase_max))[0]\n",
    "        \n",
    "        # 确保有足够的点进行统计\n",
    "        if len(local_indices) > 5:  # 至少需要5个点\n",
    "            local_mean = np.mean(magnitudes[local_indices])\n",
    "            local_std = np.std(magnitudes[local_indices])\n",
    "            \n",
    "            # 如果当前点偏离局部均值超过阈值，则标记为离群点\n",
    "            if abs(magnitudes[i] - local_mean) > threshold * local_std:\n",
    "                mask[i] = True\n",
    "                \n",
    "    return mask\n",
    "\n",
    "# 计算移动平均线的函数\n",
    "def calculate_moving_average(phases, magnitudes, window=0.1, num_points=100):\n",
    "    \"\"\"\n",
    "    计算相位折叠光变曲线的移动平均线\n",
    "    \n",
    "    参数:\n",
    "    phases: 相位值数组\n",
    "    magnitudes: 星等数组\n",
    "    window: 窗口大小\n",
    "    num_points: 输出平均线的点数\n",
    "    \n",
    "    返回:\n",
    "    smooth_phases: 平滑后的相位点\n",
    "    smooth_mag: 平滑后的星等\n",
    "    \"\"\"\n",
    "    # 创建均匀分布的相位点\n",
    "    smooth_phases = np.linspace(0, 1, num_points)\n",
    "    smooth_mag = np.zeros(num_points)\n",
    "    \n",
    "    # 对每个均匀相位点，计算局部加权平均\n",
    "    for i in range(num_points):\n",
    "        phase = smooth_phases[i]\n",
    "        \n",
    "        # 计算到所有点的相位距离(考虑周期性)\n",
    "        distances = np.minimum(np.abs(phases - phase), 1 - np.abs(phases - phase))\n",
    "        \n",
    "        # 高斯权重，窗口内的点权重高，窗口外的点权重低\n",
    "        weights = np.exp(-0.5 * (distances / (window/2))**2)\n",
    "        \n",
    "        # 只有权重足够高的点才参与平均\n",
    "        valid_indices = weights > 0.01\n",
    "        \n",
    "        if np.sum(valid_indices) > 0:\n",
    "            # 加权平均\n",
    "            smooth_mag[i] = np.average(magnitudes[valid_indices], weights=weights[valid_indices])\n",
    "        else:\n",
    "            # 如果没有足够的点，使用最近点的值\n",
    "            smooth_mag[i] = magnitudes[np.argmin(distances)]\n",
    "    \n",
    "    return smooth_phases, smooth_mag\n",
    "\n",
    "# 识别离群点\n",
    "r_outliers = identify_outliers(phases_r_true, df_r['calmag'].values)\n",
    "g_outliers = identify_outliers(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 计算移动平均线\n",
    "r_smooth_phases, r_smooth_mag = calculate_moving_average(phases_r_true, df_r['calmag'].values)\n",
    "g_smooth_phases, g_smooth_mag = calculate_moving_average(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10), sharex=True)\n",
    "\n",
    "# r band\n",
    "# 绘制原始数据点\n",
    "ax1.errorbar(phases_r_true[~r_outliers], df_r['calmag'].values[~r_outliers], \n",
    "             yerr=df_r['magerr'].values[~r_outliers], fmt='o', \n",
    "             label='r band (normal)', color='tab:red', alpha=0.7)\n",
    "# 标记离群点\n",
    "ax1.errorbar(phases_r_true[r_outliers], df_r['calmag'].values[r_outliers], \n",
    "             yerr=df_r['magerr'].values[r_outliers], fmt='o', \n",
    "             label='r band (outliers)', color='darkred', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "# 绘制平滑曲线\n",
    "ax1.plot(r_smooth_phases, r_smooth_mag, 'r-', label='r band (smooth)', linewidth=2)\n",
    "\n",
    "ax1.set_ylabel(\"Magnitude\")\n",
    "ax1.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (r-band)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "ax1.grid(True, alpha=0.3)\n",
    "\n",
    "# g band\n",
    "# 绘制原始数据点\n",
    "ax2.errorbar(phases_g_true[~g_outliers], df_g['calmag'].values[~g_outliers], \n",
    "             yerr=df_g['magerr'].values[~g_outliers], fmt='o', \n",
    "             label='g band (normal)', color='tab:green', alpha=0.7)\n",
    "# 标记离群点\n",
    "ax2.errorbar(phases_g_true[g_outliers], df_g['calmag'].values[g_outliers], \n",
    "             yerr=df_g['magerr'].values[g_outliers], fmt='o', \n",
    "             label='g band (outliers)', color='darkgreen', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "# 绘制平滑曲线\n",
    "ax2.plot(g_smooth_phases, g_smooth_mag, 'g-', label='g band (smooth)', linewidth=2)\n",
    "\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (g-band)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "ax2.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa1b027b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "975be777",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "b1902f4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26143 (\\N{CJK UNIFIED IDEOGRAPH-661F}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 31561 (\\N{CJK UNIFIED IDEOGRAPH-7B49}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21608 (\\N{CJK UNIFIED IDEOGRAPH-5468}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26399 (\\N{CJK UNIFIED IDEOGRAPH-671F}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 22825 (\\N{CJK UNIFIED IDEOGRAPH-5929}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 30340 (\\N{CJK UNIFIED IDEOGRAPH-7684}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 25240 (\\N{CJK UNIFIED IDEOGRAPH-6298}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21472 (\\N{CJK UNIFIED IDEOGRAPH-53E0}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 20809 (\\N{CJK UNIFIED IDEOGRAPH-5149}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21464 (\\N{CJK UNIFIED IDEOGRAPH-53D8}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26354 (\\N{CJK UNIFIED IDEOGRAPH-66F2}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 32447 (\\N{CJK UNIFIED IDEOGRAPH-7EBF}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 27874 (\\N{CJK UNIFIED IDEOGRAPH-6CE2}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 27573 (\\N{CJK UNIFIED IDEOGRAPH-6BB5}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 30456 (\\N{CJK UNIFIED IDEOGRAPH-76F8}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 20301 (\\N{CJK UNIFIED IDEOGRAPH-4F4D}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26143 (\\N{CJK UNIFIED IDEOGRAPH-661F}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 31561 (\\N{CJK UNIFIED IDEOGRAPH-7B49}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 30456 (\\N{CJK UNIFIED IDEOGRAPH-76F8}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 20301 (\\N{CJK UNIFIED IDEOGRAPH-4F4D}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21608 (\\N{CJK UNIFIED IDEOGRAPH-5468}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26399 (\\N{CJK UNIFIED IDEOGRAPH-671F}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 22825 (\\N{CJK UNIFIED IDEOGRAPH-5929}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 30340 (\\N{CJK UNIFIED IDEOGRAPH-7684}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 25240 (\\N{CJK UNIFIED IDEOGRAPH-6298}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21472 (\\N{CJK UNIFIED IDEOGRAPH-53E0}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 20809 (\\N{CJK UNIFIED IDEOGRAPH-5149}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21464 (\\N{CJK UNIFIED IDEOGRAPH-53D8}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26354 (\\N{CJK UNIFIED IDEOGRAPH-66F2}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 32447 (\\N{CJK UNIFIED IDEOGRAPH-7EBF}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 27874 (\\N{CJK UNIFIED IDEOGRAPH-6CE2}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 27573 (\\N{CJK UNIFIED IDEOGRAPH-6BB5}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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VlZVMnz6dVatWARAOh/n617/O7NmzOeqooxKV75566inOPfdcTj/9dE4++WSeeuopvvKVr3D66aczdepUfvCDH/Dggw9y1FFHMX/+fJqamgD4yU9+wrx58zjiiCM455xzCHUKxgeYMmUKjY2N7N69e1+/7i70m4EshHhSCFEnhPig0/IlQojNQogPhRD3ptlvshDidSHER7Ftrumva1Qo9pV0U2kDPb2mUCiGFsFgkAfuu4+lf/4zX1+5ksMPPpgH7ruPYDA42Jem6GcyFbDa3zSjmzdv5uKLL2bdunVMmTKly/qCggKqqqpYvHgx1157LQDHHXccq1evZt26dZx//vnce+9eU2vTpk38+c9/pqqqijvuuAPDMFi7di3PPfcc69at48UXX2TNmvR915tvvsncuXNTlpmmSVVVFQ8//DB33HEHAI8//jgAGzZs4Nlnn+WSSy4hHA4D8O9//5unn346IYf44IMP+NWvfkVVVRW33norubm5rFu3jmOPPTYh5Tj77LNZs2YN69evZ+bMmfzsZz9Le31z5szhzTffzPar7ZH+DNJ7Cvg+kBCrCCFOBM4EDpdSRoQQZWn2M4FlUsp3hRD5wFohxF+llBv78VoVo4y4MWsFAkR37OhVSep0U2m1t9wCQjjFSpKm18puvEkFCSoUo4BgMMhXTj0Va+NGvmoYjNU0Wlta+P099/CnlSv53auv4vf7B/syFf1EpgJW+5tmdMqUKcyfPz/j+gsuuCDx/3XXXQdAdXU15513HrW1tUSjUaZOnZrY/rTTTsPr9eL1eikrK2PPnj2sWrWKs846i9yYgX/GGWekPVdtbW2XMs1nn302AHPnzmXbtm0AvPHGGyxZsgSAQw45hClTprBlyxbAKeQxZsyYxP4nnngi+fn55OfnU1hYyOmnnw7A7Nmzef/99wHHiL755ptpaWmhvb2dL37xi2mvr6ysjJqamozfVW/pNw+ylPJfQFOnxf8NLJdSRmLb1KXZr1ZK+W7s7wDwETCpv65TMfrYX61Yuqk0q60Nq7W1T6fXFArF8OGJH/zAMY7dbsZrGroQTHS7Odftxty4kSd+8IPBvkRFP5KpgFXxokX7ddyeBlVCiC5/L1myhMWLF7NhwwZ+9KMfJby3AF6vN/G3rusJLXDycTLh8/lSjpV8vORjSSmzvp/k69E0LfFZ07TE8S699FK+//3vs2HDBm677bYu1xAnHA7j8/l6vI9sGeg0b9OBBUKI7wJh4HopZUarRAhRARwFvN3NNpcDlwOUl5f3S0Rnd7S2tg7o+RT7T+vPn8R2ubF1HWwby+PBNgx2//xJCqftHWlnerahbZ+ijSnBsiwAotEodjQKUkJsBB6NRpFuN9Ft2wb8nVRkh/rtjlwG49k++cMfchYx4yBmIMSDqj4D/PyJJ7jk618f8OsaaQzks7UsC8MwstrWc9SRjFl2PfV33okdCKCNKabw/CvxHHVk1sfojGEYSCm73f9Xv/oV3/72t1mxYgXHHHMMhmHQ0tLCuHHjMAyDn//854ljWJaVck/x5Z/5zGf4xje+wbJlyzBNk5UrV/LNb36zy3mnT5/O5s2bU/Y3TRPDMBLLDMPgs5/9LL/4xS9YsGABW7ZsYceOHUybNo01a9Zg23ZiW8uyUj7Hryd+rfF1gUCA0tJSQqEQv/zlL5k4cWLa+9m0aRNnnXVWt9+XZVlZ98kDbSC7gGJgPjAPeEEIMU2mGW4IIfKA3wLXSinbMh1QSvlj4McARx99tCwtLe2XC++OwTinYt8J1NXhLikl2twMgMfjQbpcWHX1XZ5lumcbrpjqTKXpemJ/0+MBnFF0fJnV3o6rokK9H0MY9WxGLgP9bBuamhjv86EJATFvnKY5k7QT3G4amprU+9ZHDNT3WF9fj9vtznr7ws8cS+Skk4C+KRTidrsRQnR7DaZpctxxx2HbNs8++yxut5s77riDCy64gEmTJjF//ny2b9+O2+1G13V0XU8cL37syspKzj//fObNm8eUKVNYsGBBynZxvvzlL3PRRRel7O9yuXC73YllbrebJUuWcMUVVyQC+p566iny8vLQdR1N0xLbdv4cv574tcbX3XXXXRx33HFMmTKF2bNnEwgEutyPYRh88sknzJ8/PxFEmA5d17N+f0R3rvD9JeYB/r2U8rDY5z/hSCz+Efu8FZgvpazvtJ8b+D3wZyll1nm0jj76aPnOO+/00dVnR0NDg2r0hhnV11yL2diIWecofLzTpjnGbEkJ5Y88nNgu07ONSzTMxiZwu3GPG4dZX5/QIMeXyY6Q0iAPYdRvd+QyGM/28IMP5syWFia63YRjg++c4mIAagyDV4qLWR/TYSr2nYF8th999FEXze1o56yzzuLee+/l4IMP7vNjG4bRqwFJMi+99BLvvvsud911V7fbpXumQoi1UsqjO2870Gnefgd8PnZB0wEPkOLrFo4Q5mfAR70xjhWKbNlfrVi8Yp/m8yE7OnCVlDDhrruYcOedKcuUcaxQjB4uufxy3pCyi/5SSskbUnLxt741SFemUPQdy5cvp7a2drAvowumabJs2bI+PWa/SSyEEM8CJwClQohq4DbgSeDJWOq3KHCJlFIKISYCP5VSfgn4LHARsEEI8V7scP8rpfxjf12rYnTRU0nqePEP7ZKLuz1G/sKFQOpUWrplCoVi5HPFlVfyp5Ur+fXGjcyzbcqEoMYweENKXLNmccWVVw72JSoU+82MGTOYMWPGYF9GF84999w+P2a/GchSygsyrLowzbY1wJdif78B9BxOqVDsB5kM3N6gjGCFQhHH7/fzu1df5Ykf/IAf3nEHTdEok4uLufhb3+KKK69UKd4UimHGQAfpKRRDmuT8yPrH/8H39ct6JZNQRrNCMXrx+/0su+EGDlq9GoAzf/vbQb4ihUKxrygDWTEqiMsmkg3YzsZs5/zIdlOzKvahUCh6TTrDOF0bpBh5vHzOOYAaHI0EBjpIT6HIiroHHkx0KANF5wIgmt+vin0oFAqFokdUmfGRhzKQFYoYRvVOtFihjzhabi5GdfUgXZFCoVAohjrxMuN/uOcevmoY/K+mcWaszPhXTj2134zkioqKfilEdfvtt3P//fenXffwww/zzDPP7NNx33vvPf74x735Fp566ikWL14MwBNPPMEvfvGLfTpuMvX19Zxyyin7fRxQBrJiCBLXAbe89BLV11ybdQno/T2eu3wydiiUsswOhXCXlw+KR1uhUCgUQ5+BKDMupUxUZhwsTNPkySef5Gtf+9o+7d/ZQE7miiuu4KKLLurVtaRj7NixTJgwgTfffHOfrjEZZSArhhSddcBmYyN19yzfZyM5+Xh2JELH+vUZj9c5P7IdDPYqP7JCoVCko68H/YqhxdM//jGfFQIhUhNwCSE4Tgie+clP9um427ZtY+bMmVx55ZXMmTOHnTt3dtnmvvvuo7KyksrKSj7++GMAVq5cyTHHHMNRRx3FwoUL2bNnD+B4hi+77DJOOOEEpk2bxqOPPpo4zne/+11mzJjBwoUL2bx5c9rr+fvf/56ojgeOwTt//nwOP/xwzjrrLJpjBXJOOOEE4kXbGhoaqKioIBqNcuutt/L8889z5JFH8vzzz6cc+/bbb+fBBx0n1NatWznllFOYO3cuCxYsYNOmTQBceumlLF26lBNPPJEbb7yRf/7znxx55JEceeSRHHXUUQQCAQC+8pWvsKIPpJHKQFYMKTrrgPW8vP3SAXc+nvB4Mh6vcwEQbUwxZTfeBKA6N4VCsU/09aBfMfTYU1/PuAzljce5XOypr0+7Lhs2b97MxRdfzLp165gyZUqX9QUFBVRVVbF48WKuvfZaAI477jhWr17NunXrOP/887n33nsT22/atIk///nPVFVVcccdd2AYBmvXruW5555j3bp1vPjii6xZk/7dfPPNN5k7d27i88UXX8w999zD+++/z+zZs7njjjsy3ofH4+HOO+/kvPPO47333uO8887LuO3ll1/OY489xtq1a7n//vu5MimH+JYtW3jttdd44IEHuP/++3n88cd57733WLVqFT6fD4Cjjz6aVatWZTx+tqgsFoohhVG9E70ktYzo/uiA48ezw2HsUAi7owMrFMLMoNtKzo+sXXIxfPJp2s5NZbZQKBTZsHeQ3g6AnpeHFVuu2pCRwbixY9kTKzPemT2mybixY/f52FOmTGH+/PkZ119wwQWJ/6+77joAqqurOe+886itrSUajTJ16tTE9qeddhperxev10tZWRl79uxh1apVnHXWWeTGYnDOOOOMtOeqra1NlGlubW2lpaWFz33ucwBccsklfVKso729nbfeeivlWJFIJPH3ueeei67rAHz2s59l6dKlLFq0iLPPPpvy8nIAysrKqKmp2e9rUR5kxZCiOx3wvh7P2LMHq7kZpEToOjIcxmpqzMqDsy8e7XR6ZaVhVihGJyr4d+TTn2XGeyowkyzriP+9ZMkSFi9ezIYNG/jRj35EOBxObOP1ehN/67qe0PJ2loekw+fzpRwrEy6XK6GXzmb7ZGzbpqioiPfeey/x76OPPkqsT/4+brrpJn7605/S0dHB/PnzE1KMcDic8CbvD8pAVgwpOuuArfb2/dIBFy9ahJlUN17aNgJwjZ+Q0cgtW7Y0katUdW4KhWJ/6OtBf7aoQfnAccWVV+KaNYtfGwa1to0lJTWGwa8No9/LjMe1vM8//zzHHnss4Hh3J02aBMDTTz/d4zGOP/54XnrpJTo6OggEAqxcuTLtdjNnzkzonAsLCykuLk5IGX7xi18kvMkVFRWsXbsWgN/85jeJ/fPz8xM64UwUFBQwdepUfv3rXwPOIGP9+vVpt926dSuzZ8/mxhtv5Oijj04YyFu2bOGwww7r8b57QhnIiiFFZx2wq6QkazlDug7BXzkPvbgY4XIlPMieAw/EPX58VkZuvHOzWlqwWlqA7js3FYyjUCiS6etBf3+ijOp9I15m/Ms33siLbjd32zavFBfz5Rtv5HevvtqvZcYjkQjHHHMMjzzyCA899BDgBLyde+65LFiwgNLS0h6OAHPmzOG8887jyCOP5JxzzmHBggVptzv11FP517/+lfj89NNPc8MNN3D44Yfz3nvvceuttwJw/fXX88Mf/pDPfOYzKWnoTjzxRDZu3Jg2SC+ZFStW8LOf/YwjjjiCQw89lJdffjntdg8//DCHHXYYRxxxBD6fj1NPPRWA119/ndNOO63H++4J0XlKYDhz9NFHy3jk5EDR0NCQ1Quo6B37UnUq0z7V11xLx/r12KEQelER3mnTsNrbcZWUUP7IwxmP19DQgC+mQY5s2w6aRs6MGciOUFqjPR6MYzY2gduNe9w4ZEeI/DPOpPW557ACAXLnzqV40aKMBr+qtjVwqN/uyGWoPdtg1Rp233ZbVm1AX9GXbehQYiCf7UcffZTQ3CoczjrrLO69914OPvjgPj+2YRi40+i4e8vxxx/Pyy+/THFxcZd16Z6pEGKtlPLoztuqID3FiCDuubUCAaI7dqR0QMWLFmFU78SETh6cq9MeK95JaJdcnPBoVy9ZgoxGcZWUULzo6rSdW7pgnGhbG42PP46Wm6uC/BSKUUpy8O9AGJ/dtYcKxf6wfPlyamtr+8VA7gvq6+tZunRpWuO4tyiJhWJIkqwD7ome0ih1J9voyynFdHplq6kJaRh9lrZOoVAoumNf08opeVh6RtIse18wY8YMjj/++MG+jIyMHTuWr3zlK2nX9fZZKg+yYtiTTRqlbD04yZ4X/eP/wPxjCbzyMtI0weXq1gPsLp+M2diYsswOhRCd9GeZgvyU10ehGLkMlGxhX9LKZTKqR/tMV05ODo2NjZSUlGSV5UExdJFS0tjYSE5OTtb7KANZMSxJ1srta+7kzgZpzpw5BF55OdFJ2E3NND7+fVwTJuIqKQG672yKFy2i7p7lyGgU3G6s9naES8dVUoLs6Ehsly7IT3VQCoWiL9iX9lDlak5PeXk51dXV1O9HoQ9F9liWlchx3B/k5OQkciVngzKQFcOeTJ7bzkZosgcnnUEaN4bjKZlckydjmRZmYyN6knQiubNJNtTjUo54MI6rpIS8qxYTeOVlzCSjOZ3+WXVQCoWiL8i2PUymrws0jRTcbndKkQ1F/zLUgmuVgawYMmQbQZ3J8yt7MEKTSWeQypgxnIyWm4sdDEKSgdxdZ5NOyuGbOTPFaE4X5Kc6KIVC0Rekm8nqqT3cF6NaoRjpqCA9xbAinec38MrL5J9xZq9yJ2cqACKDwZRl+pgxCLc7bQ7TTEEtnQMM40Zz0VlnUf7Iw2mva7CKCSgUipHFvuSSH065mhWKgUIZyIphRabSz+F33+3RCE0mnUGqjxmDBOxgELu9HePDD5GRCCVXXdWlswF6FSmeLitHcgYN1UEpFIq+IptBeeft97VAk0IxUlESC8WQINsMDt1JETwHHJD1+dJOQ0Yi6IWFWPX1ICUSQAh8M2did5JNVF9zbZ9qhtPpl5OlGMMhgb9CoRg69LatGOhczQrFUEcZyIpBpzcZHPpKK5fOIDWqqxGAFkvL5jr0UPRolOYVK7pU3NtfzXCmAUH+woUEq6rwHHCA8t4oFIoBRRnGCsVelMRCMehkkk2kK6aRSYqQM2dOr5Lc1z3wIMFVq1KmIaVpgtuNXlSEXlQEZDZ6e6sZTpZTdJfI38mGUdll/2BVFcGqqm7vSaFQKLKlL4skKRQjEWUgKwadTAFz6QzTdFq5/DPOTMlfnG3lKNirDQ5WrcEOhTBrazHr67HDYSCz0bs/muHeDAjAMaij27YR2bJFVbhSKBQKhWIAUBILxaDTnWwinfa2s1Zuf/XAcY+u8HqRhoE0TaymJqyNG9F1nbFXd02P1JNmOE7dAw8SrakhsnFjQk4R3ry5i146PiDImMIui0p+CoVi/1Baf4VCEUcZyIpBp7u8ncFVq9Luk9yB9VYP3NkINRsbEb5c9Px8hMuF3d6ONAyIRMj9/OczGqLZBLVEa2oIrV7teKQ1DbOxEaupEcPrTdnODoUQublpi5eIgkJkJAK2TXTbNvQxY1QBEYVCsc+osvYKRc8oiYVi0MmUYgjISlfcGz1wOv1v+IMPsKNRADSfD9fYsWjFxWCahN5+u9tzp0vflnyu9tdfx2ptRUYiSNNEz8vDNX4CZm1tF3kGUnaRXtjhCFZtLUgJQiANA6OmhvCmTVl/vwqFQhGnuxgIhUKxF2UgK/qVTIEgnZd3ztsJ2ecZ7o0eOL3+14exc2diG7ujA7u5GYRInHvXdddRvez6rO6v7oEHqV52/V6vuK47Bm4kgtncjN3RgcQxxq2GBqzGRspuvAnZEeqixXYuyAYhnOtxOZM+MqaRVigUfUOmwj8jjd7GQCgUoxVlICsGhXRZGZK9sb1pxHuT5D5dQKD7gAOQHR0JA1uaJsLtRhQU7D23201k48as7y+ycaNz/W43WJZj5No24Y8+wm5vx11SQv7ChXinTyd/4UL8lfPSesIRAjTNMbBj1+Z4mn1ZX4tCoeiewfKqDkYmid4ERSsUoxmlQVYMOPGsDDIapfqaa9Pq33qrK842yX26gEDN7SZn9mzHmxsIgGnimT4do6EBq6WFyCefONroQCCrewu89hrRHTvQAwGkEGCaSTdmYLe0EA2HaV25ErOtDWPXrtSAvCQttub1oJWVYdbWgm0jPB5c48fjrajo8VoUCkV27B2Q903hn6FE58DDvsolr1CMdJSBrOg30gWCgCOd6Ckrw7404tlEnmcKCHRXTEVGo+QvXJgI3EucNxzGam0FKam+5lpwufBMnIh/wYK0GSfsjg5wu53AvI4OR2Jh244XGJzPluUc0zCQfj9mYyOBV14m/4wzaX3uuURmjLyrFhN45WWspibQNDxTpiTkIyriXqHoG/a38E9/kO3vO9N2mTzT3QVF9+V1KRTDHSWxUPQLmaYs6x97DNu0nKC1YJDo9u3YptVFOrE/eYa7I5McwzNxIv7KSsqWLU2c2w4GsQMBrLo6iEYhdh+h1asJbdiQNuOEbVoIjwe9oAABjlFs245MAhC5uY6BHI0mlsv29oSEJPzuuyla7NJLLqbsxptwl5Wheb3dykcUCsW+0dvCP33BYGmes5WkqUIiitGO8iAr+oVMU5bhDz90dLXxrAzRKEZ1tZPGLIme8gz35MXobn1nOUY6T3f+GWcSvv/+xHWi6xAKOUF27e10vP02WlERwuVC83jQ8/KQpoXZ2Iiem4uWk4M+cSLh999PSCOkYaB5vViG4VyIEACON529HqvOZa3TyUdUmiaFou/YX69qb8nkQOjt4DdTOxBfbjY2JmbrktdnK0nL9nwKxUhEGciKfiHTlKWMRhE5OQnjULhcSMtCdnR0OYa/ch5aQQFaQUEXo3F/qLv/ATreeIP8Aw4gePfd1K38PaKtDTeS6N9eo/a113AV5OP1+4m2toLmBMpJy8LYtm1vVgrLwmpvT7k/OxiEWACMq6gIrbAQGQyiFxZitrQ46eQsC2DvoMDtBrr3WCV3Yn3VuSoUCodsC//0FT1pnrMxRJPbATsSoWP9eozqnYnKomZrq+MVFwIMg8inn6a0E72VSKh2RzHaUAayol/IpCGOG4NxPW7ceypyctIex19Z2WVZT51Hl/UXnI/ftuH3v4fXXqP0vffQYl7c6gkTES4XLttO7G9pGpFoBF9HGNPrRQqBIIqlaSAEmmVhgxN8JwR2zEjWx4xxJCFJXijPxAkJXbEWCmEne4/jmmTLIlpTg+Z2ZeWxGskBRQrFYLGvXtV9oTvNc7aGaHI7IEIhJ+OPL5fmJ5/EPXkysqMDoevOTJ1tYzU1oVdUZNVOpGtjVbujGG0oA1nRL2SasvQddhhWayvRTz5xpAduN65x4/BOndrlGN0F+WXqPBKdSzCIHo0S/etf2bPyFcbt3o2/o4Ogz0dz6ViiHg+e3FzCLheeoiLMUAjLtrGiUeyYhzc8cQxaRwemYezNRRzTFHtMA9OyHJ2xrmNVV2M1N+OdNQtrz54uXii7oQGA0Hvv0fH++2AYjuwCwLKwW1sZf999GTuaZMnIUAwoUigU2dNdEHK2hmi8HbA7OrBDocT/Vlsb3hkznHSVuu5sLAQyHMbYs4fotm3dXlsmA90KhvAccEDKtqrdUYxklIGs6BcyTVmCY+AKr9fJylBRkTb4rnrZ9YRWr3byESc10iLX323n0fyDxxE7duCt3e0Yrzge4ebyyXBMJbXbtmM0NoKUGIVOCWdRXIwFWM3NToeiaQiPBysSQeblOTKQtjaIRBC5ueiahmaaeDo6iFoWIHG9+y4l0Qi6lISPPRZz4sS0XigZCuIqK8NubUUvKnKWSYmroCBrL4xK06RQDG+60zzX3bM8qwGwu3wykU8/xWppcQbuuu5kzrFtjD17nKJCSQN7kZMDhoGen9/lepIH4JkMdNnQOOCBjArFYKIMZEW/kWnKMhutX2TjRsc49niAvY10ZNMmtKKiFANTy83F2LgRTjkFY9MmdNPxANu5udj5+Vh+P3JsKfUIzPb2RFU6bBtpmhg7dyIty/GyxApyeA88ECPYjl1Ti6bruCZORB83Dhlow2xswnS7cY8bh7ZlC8VuF749dTQDRs0u3M8+i7+4CD5/Ihx1VMr9V+/YgWhsxIxpsL3TpmG1t+MqKcn6ex3ogCKFYrQwEKnLEsZohnYw2wFw8aJFVC++KvFZxP5p48dj1tYifD7strZEvAc5OZh1dWg5ORnzz0Nm+YfIyUlkFlLtjmI0oAxkRb+STRaJdFiBQJdqcVpubiLgBHC8JjU12B//B3dLK9TWOJ1LeTlWTg6WbWMHAsimJqQQWIFtjgY6tr9wuZxG3zASleqEy4WWl4eruBgrNxdaWik666y9175gQUqn5lqwgDAQ+PRTzN21uAIBzLYALe1BPJ/9LP6TT4Zbb4U5c4AePEcZMm+kk5oMZECRQqHoezK1gz0NgJPbCX1MCfbu3U7gr6bhOegg9IICotu3IzQN0zSRpulUCG1rc4KNpUyRpgE0v/ACMholumMHwpeb1lOcc8ghFC9apNodxahBGciKQaE7T02wag12KIRsaXEWuN14p03DDoXwTp9O9NNPEeEwruZmRwYhBMUCuOsuiufPp+6HP8Ss3b3XeyIEWmEhZn19F6NbgKODHj/e0dzFPNYAMhQid+7cLtd64Kt/TPlcfc21iNxcRF4+Vl4+3qMnYm3eTLNt43/5ZXj5ZTj9dPje97pIT6zGRryzZjn66VWr0n4XmTTXAxVQpFAo9p+6Bx4kWlNDZOPGxGA3XnQomd5k1MiZMQMZDmOHQuhFRbiKirDa28k55JAUvXDgtdfQS0qIbNkC7J2Rq3/sMWQomFK4yWxogJgRjabhSjLQBzKQUaEYbFShEMWQIm4QJrJa2DZEIkRrapAdIfKOOw69pQXZESIiJXg8lF18Ef6tW+Hmmwmuf9+pihcOA46XWC8qcjqh3FxnecxbbAUCCaN7/B134CoZ06kwSUdWhUmM6p2OdzuONwftsNkYRx0FS5eCzwcrVzpe5O99D/+coxLFQPIXLsQzcWJK0YCtp36J6mXXA7D7ttswG5ucCHUhEgVFOhdWUSgUQ5toTQ2h1atTBrvGtk/xL1jQZdu4IRovGBQ3jjsXF8mZMwdpGE6qzG4KKlmBQGobhTMjF9m8uUvhJuH14iorczTMpqmKEylGLcpAVgwp4gEiel4eWl5eImuEsX07Xo+XwP33owcC5HSEcfl8yMMOg9PPgJycROcRevttpGmiFRfjGjsWGYkQ+eQTvNOmJSraYdtOmraY9hjoUl0qb8nirDqFjFW4pk6FBx6ATz+Fb33LqZ73v/8Lxx5L2SlfTHhgojU11N2zHKOuDjsSwe7oILR6NcGqNViBwN7UeDHiATvx/VW1K4ViaBOsWkP7669jtbZitbYiIxH0vDzMxiZ233Zb1sfoPJsUeOVlxlx+Oe6ysi5V8cqWLU38y507F2PPHifbRXs7HR9+iLFnjxODUV3dpXBTdOfOjNcRP6ZCMdJRBrJiSBH3xtrhsFN0I5Z7mEiEwJo12KaJyMnBnDYNz2c/i9nSwu7bbuvSeWh+PzIYxE4qQKJ5PPiOOAK8XmeB241WWgpSUnfPcoAUr40nFmDXEz2WxR43Dn78Y/jLX2DyZHjnHeQRR9BwwokE/vpXAn/9K+GPtzoZNYRwvMVuN/WPPoodCmHW1mLW1yfuRUWOKxTDh3jbJKNRp8iQbWM1N2O2tDga40Ag7X6dDdG92SX2ziaZjU20PvdcWm9zMjlz5mBs3+44BgC7owNj+3ZkvH2N/RMul5MzuaEBzedDLy1NyLoGqhS2QjFUUAayos+oe+DB/fZmxr2xdiCA0DSEbaMZBpphIDUNq6QEY8oUZFyCEetgOncenilTHBlFczN2KIRRU0Nky2byTjoJz7hxuMaNwz1uHLrPlyJb2BfvSFwzmOx9TjsledJJ8MEHcPnlhDweAp9+ivbxx3u92aaJHQhgVFdj7t5Nx7vvOh0qTkEVq6UlITUpXrSoy3Sr6sAUiv5hf9q2RNvkdic8tULTMHbt6jbtWufzdZFyQUYDu/P+4XffxX3AAYkZNC0nx/kcy/kel51J03RmumKpLpWsSzGaUQayYshQ98CD4HI53ljDcPIOGwYIgTs/H1Faih3rYADM5masujqstjaC/37LKeMcw1VUhD5hgtMBWBa4XLgmTCTwystI28Y7fXrKufc34X0mzWCXjq6ggOA3vkn1QQcT8XoxpIRIJLWjSqrqJ8NhtFguZqTEbm1NRJ6nC95TRrJCkZ6+GMDvC3HDNi4Zk7aNBKy2NqymJozGxqwGuHaoIxFkB2C2tGDG2r/ojh1ptczJ1+AePz5xHb7DDnM+u924J07cmyvZ7QZdRysoSNlfFQRRjEZUFgvFkMIzcSLFxx/PrhtuwJYSgUTL9eOaPx+7thaztgYZq3ZnNjQgLQutuBhMk+jHH6P5/WixTBV2czN4PGherxOoN2GCI3/op4T32XieE1IQ24acHMeoj3lvgL05S8Hx4mgaMhJxtNRJBUWqr7lWlX1VKAaAnkrb90Q8r3GiXWpvd+QWQiDy89Hy8rqkXUtXQdTu6HAy8bhcyJwczPp6iLV/Pe2fKbeyd8YMZCiYUrgpsmUzrpISZJI8Tcm6FKMRZSAr+oT97UTi+9t1dUQbGxjT2krbmBKssjJkXh5WeztWQwPeWYdi7dmDuWuXYwzn5aHl5KCPGeNEZLe1IXJyElkovIcc4hjKMbTcXITPNyAJ79N9JynTrbbtaABte6+BnOQhx7Ydj7ppOp8NI9FJqXLTCkXfkCn/OHSfZjHb9i05r7HIyUHXdcymJjxTpyaM0M5p15LPV3vLLYk2QRszxklf2daG9PudYOaYTMwC6h99FNkR6nK9+WecSeCVlx2JRlKbFzeod3zrW2BZTnDyVYsJvPIyZi9ytSsUIxElsVDsN5k6kWyn+4NVa6hbvhxqavDu2YNpSwIHTKHghhvQiooSut7c+fPJnT2b/IUL0QsK8M2ejRbTIruKivBMn+4kxI9tnzN7NlqnDBB2KETOjBnZaYb74TsJb9rkTHPm5yOTDeNkz3HSMmlZoOu4yspwlYxJeJMyZs5QXh6Fos9IFxjXWz1u5xgF3xFHoOXkpPx+I598grFnDx3r12M2NjlxGK2tjuHb1obV2orweNB9PtzjxoGuo+fkJLzSEEvbtmVLotBHfH/hyyX87rsZ2zx/5TxyDjmEnEMPpfyRhym95OJ+bx8ViuGA8iAr9pu9nci+Tfc3//KXiF3VeBobkYA+YwbWuHGEP/ookZQ+XsEu9Pbb5M6di2fq1C4GouZ245k0ifyFCylbtjQ1eryTJ6S/E95n+k7i8g4tJweKi7FiSfmBhA4QACnRx4zBamwEIboUC+htuWnl+VGMZvZ1hquvZmo6tzdbT/2Sk5UmqTBRokKo240dy+MeXy7j7UIcl8tpR5KC9uxQCKRMm+/YqK7O2OYFq9YQ3bYNGY2mlKBWBUEUox1lICv2m/3qRDo6MP71T/SGRqQQmJMm4T7wQDTbxqiupvyRh9N6Y836+kTezmQDcfwddyQ6vp4qUvVnw5/pO0mWdwivF62oCLu11SkmEg47sgrLQjcMcnfswCovxy4vp/yRh1OO1ZtqWwrFaKY7mQR01esm/4YyaXd7M1PTOTAwWLWmi55YhMN7q9k1NzvGspR0fPABEhAeD1assmjunDnOfcTiMZLbP+8hhyTyHWPbdHz4IfqYMXgrKoD0Zezr7lnueKILCrp8N5233R8ZnUIx3FAGsmK/6dyJRD75BBmN4jviiO49l01NcMYZuOvqMXO82BMnYce8H8mdUDpvbByrsbFbA3GwPCGZOtacGTMoXrRor2FbWIg+fTrWnj0Yu3fjHj8e74wZlP7jdawtW2iyLaKdPDvJ32k296Y6NsVoJP47ie7YkXY2J5NeN1lO0NuZmuTzdv5NJs9qQUxP3NICra1Ilwvy8iAYdLLaxLBi8RNaXh52IACahtXejubSKblqMa3PPZfS/nV89BENDz2Uku/Y3r6dwrPPTnut3c3+JQ/K+0KLrVAMN5QGWbHfdC6UIaNRpGF0X6Z5505YsADefJNitwt5yEwslyttoY10+T+13FxkR0ePCfJhcCo/dVc8JDkl3IGv/pGKp35O/sKFjLnwQg589Y94Jk+m4cTPU3fIIVhCw7N7N+bWrfuUxm1/9eEKxXAnU/sR1+t2py/OOsd5BjrnKq9/9NHEOXWfz0nf6HY7+YlDIScfejJSOtu4XE456PZ2jJ07yT/jTEovubhL+5cp33H43Xd79d0kz/7VPfAgu2+7La22Of5dDVYKPYWiP1EeZMV+03m6X8/Pxzt3LpBh+nLTJli4EHbtglmz8P/pT5TV7s4oF+humnOo6uN6K+9I/ly2bKmTxm3mLHjvPbTWVtjwPtbs2TSvWIHngAPS7gddvVf7qw9XKIY7mdqP7vS6yfRmFip5tia0bp2TijIcTgxOwx98gCcpB7vQdUROjuNJ7hRQ7GwgwLKwqqtxS4kmbbT2dgIPPojv6afIb2/HLigEXw5MmICxeRPuceOREyaAEHinTUPG5GqZvpuO9euxQyH0oqLEdxOfvYvfT3THDvRAwKluGitetD9Zc1RMhGI4oAxkRUZ604jFO5FoTQ2RjRsJrlpFcNW/QHel5vm88EL8V10FtbVw3HHwyitQXIx/8uSMndC+THMOBfZH3hHXMEdjSfz1lha09zcQbmklsmVL1nIJlQ5OMRqJrltHR8xQ9Uydillfn1av25eZYDrP1kS2bnUK/eTnoyU81D6MnTsT1fOEz5coIS8sEwmpKR+lTAToeePXGurA0jSa6+spr61xlv3tNQDcEyZiuj7Co2nYPh8gsXN8uKfsHVQnU7xoEaF33kFaVqeZrqtT7icROJhUxCj+XQWr1tD8wgvIaDSlTVJGsGK4owxkRZ8RrakhtHo1wu3GjkadAJSOdoTL5XguIxGab/g2/tpa+Nzn4I9/hCQPTqaGdDgHpO1r55DwegmBOWECemEhxq5dWHv2oEciiKKiLjrAdFrjvggyUiiGE8GqNbQ/9n1EzFCN5xaXADGZRHxwne3AO5vfcefZGgzDMSwDgUQ6SvcBBxDdvBnp9SKkRDdN7PZ2hGUhpETqGhBL+ShE4p/m8WDm54Om4Ro/Hk3TMNrb4Y7baf/Nb9Db2vCNHUvxjh3UBQLYhokWCGBt2owUguJ//gPefRfOOQfOOw8mTQKctjV3/nyCb7yRkJDE29Z4pg3h8aAXFGC1tTnfpWURWr8evaCAvJNOcr5D00SaJh3r12NU70wb5AeO0yXuRFExEYqhjtIgK/oO08QzdSrC43EqPHk8IAR2ezuEw2jr12OYBhx7LPUnf5G6Hz6Rsnt3OrZMpZxHKikaZsCaOhUzLw+XEcWzezd6Rwd6Xh5mYxO7b7sto9Y4Z86cjFpohWIk4hiqvhRtsau0FN3nS2k/9ldf3JnOel6Rk4OAvYV+AM22ySkowLtzB/r2bXi3b6d0z268kYgTqKfpKYYxeXmI3FxcFRVYJSVYxcUwaRJ2fj7uww4jeMSR7NF0duouqqdOgx//hLJf/Qr7wAOJjh2L64DJlPlz8QcC8NZbsGwZTJ4Mn/88/PSnBP/2dyIbNyKjUfT8/BRj1QoE9so+pEQkpZqzAwHsSIT2v/7VGRToznULj6fbPNFxJ4qKiVAMB/rNgyyEeBL4MlAnpTwsafkSYDFgAn+QUn47w/468A6wS0r55f66TkV69iXzQWjtWqdjEsLxHluW47kxTVj9b+xwGHdBPrz6KvKnP+v1NY2mqbp0XnOzvBx3ayti505cO3dARYXj+QoEMmqN4wUChqP3XaHYF4zqnYiCQuhUQTO6bVuXbfsyy03n2Rr3pElE/vMfJ2AuHMZauxZZX09Z3R78HR3YXi/aOefAOedgb96Cu6GByMaNmI1OrnQ0jfzPfpacOXOcynZtqZ7unDknZcwskfflL6feU0sLvPYaPPss/OEP8PrrBFevpq5sHFpODprbjR0KpcxIScPAjg0crLa2vXmaAc3vx25tJdzWhueggxwniG1j7NyJ1dpKdMeOLlIwgPbXX3dSXLrdaHl5KiZCMaTpT4nFU8D3gWfiC4QQJwJnAodLKSNCiLJu9r8G+Ago6MdrVKShNyl9knVmen5+Ivm9lp+PDIUcT3I0ihUOI/1+ih95hODmLV2Mb+g+H+lopHPnXX3NtZgNDYiWZrRAO7y9GsaNR8/P71Zr7K+ch1ZQgFZQ0CWfskIx0nCXT8bcvZuk2pROEFpM99uZvhp4Fy9axK7rrsMOh9HHjEG43bjy8tDq6hA7tuOKGhS3tuI//XRa8vKJHnwwZTfd6FxD7Bjx9jRYVQWQ+L36Zs7sMsjNNkUbAEVF8NWvOv9aW+Gll2h+5FFEYyN6e7tjCFgWltdL8y9/ATiebxkKYZqmk3oulhkDTXMcIFIig0Eimzbt1SZL6eR1FwJpGIn4k3i5bBmNgq4jLQurpQWzudmRj6mYCMUQpN8MZCnlv4QQFZ0W/zewXEoZiW1Tl25fIUQ5cBrwXWD0uA2HCPua+cA7axah1asBEF4vekEBxpYt6IaBKzeX4kcehvyCLsZ3ovFMivZWOTYdkjvveLCiMbYMt2lhGVHsujqscBjd78c2UlNEKa2xYjRSvGgRof/7P+imiFBfkewgSNbz0tKCa88exn78H/wdHUiXC3H55Y7EYdo0ijIcr7s4jM6e7rp7lu9bAG5hIVx6KcbKlehHHIG5fj16cxOirQ1t40bC2z6l7t11jtGbk4OMG79COEZyzFAW4AQQJqem0zRnv3h7np+PnpdHZOvWvduYJsLtdrJr7NqFcLtVO6UYkgx0kN50YIEQ4rtAGLheSplOfPQw8G0g/ZA/CSHE5cDlAOXl5TQ0NPTd1WZBa2vrgJ5vIAht+xRtTAmWZQEQjUaRbjfRbdu6fL+hDieyuuavfyW4YQN2JOLk83S58EcijK/eicfnI/DPf9Ixfjytt9yC7XJj6zrYNpbHg9nSgsRJhh9fZhsGu3/+JIXTpg707ScYcs922lS8V1xB9L77CRcWIALtuCIRtKYmjLKxRLdvh5wchN+PbG5GdnTgueRiGhoaELMdldNA/z6GMkPu+Sr6hmlT4bKvY//gh8j2drT8PHyXXEzHtKl09PH7H2//GhoaiK5bR+jdd9GbmsgJBiluacbn8dBSWUnb/PnkXn89sY336VzaJRcnzgVgl5VhNjVjJ7XTdjCIVjY2q995Yv8xY6C4CI/Ljdi+DWmY2NU70VxuLJcLcnIcwzeuQbZtrGjUMYzjpbKTS2PHtpWmiWU5hY7saNTZ3+2GSCRhdFvBING2tkQ7lQ3qdztyGWrPdqANZBdQDMwH5gEvCCGmyaRC80KIuG55rRDihJ4OKKX8MfBjgKOPPlqWlpb2sEffMxjn7E/CFVMdLV0s36XH48Fqb8dVUZG413g0shXTzEVeeQV0F67iYohG0errKdn2Kf7CQli9mjFTpgAQqKvDXVJKNKYP9Hg8mJYFUqInnU+6XFh19YP+3Q72+btw0knUvb+BwGuvoU+dhlb1NiJq4qpvIFoxBWNnNVo0im/8+IRMJVi1htY338IKBAjXN6g0TEkMueer6BuOOw576ydA/73fyb+r9k2bMbdsxrOnDs2yMN1u6o44krLvfY+iEz6X0WO8P/i+fhl19yx32k+3Gz0aRTMNyr5+Gf4s3uvO+4uyMmReHnLXLozWVoRloZsmsqMD2+1OST+nuVzoY8bgKisj8vHH2IYBto3weJzYk1iBE13XnTbe40EaBjIcdo5jmiAEruJiJt58M8FVq7Df35D1s1K/25HLUHq2A53Fohp4UTpUATbQ+dv4LHCGEGIb8BzweSHELwf2Mkc33VWBi5McjWxHo0hbYre3I8Nhclwu9PZ2mktK4fe/h5hxDI4+sHPuUdxuJ/NFEkoekJmyZUvRcn3YmkbIn0fI56OjqQmxew9abi7uSZPwHHBAwjhWlfQUo5H+rKCZ/LvSbZvIO+9gNrc4utz8PPTPfQ5x4IE0v/RSv5wf9r/KX+f9rcZG3FOnInJyIC8P6XIhhXBS0EUiaJaFy+1GeL34KyuZcNddjF2yBL2gwJFVSOl4hmMyDGnbmM3NWO3tjuEciSTkF3HnS/Fll416GZ1i6DLQBvLvgM8DCCGmAx4gZV5FSvk/UspyKWUFcD7wdynlhQN8naOabBreyMaNiLhhm5TSTTY3w+bNCNsmVFBA3T/+mXLsdMa3XlCAXlioUpH1ApHrJ7plC1IIbJcLqWlEm5rQY0UHglVV1D3wYJKePHM5XYVC0TuaV6xAeL24Gxrw7NgBloXQNKKFhRiTD4Dc3AEpyLO/6S+T989fuBDPxImOgQxITcN2u5F5eU6xokiEg9e/R4VlUR7TXPsr5zHhrrvQx41LaJN9hx/O2GXLnNzPpomrpATP5Ml4pk7dq192udAKCgi/+26Xctxq8K4YKvRnmrdngROAUiFENXAb8CTwpBDiAyAKXCKllEKIicBPpZRf6q/rUfSOTOmP4tKK6K5dzpSa243QNKRlIWzbiXYGzLFjkZ28wvHjdk47NvZqJzG/SkXWC2LFDwCn0/H7IRiExkak3080EMBua0PaNp4kDz44gTzhzZt7VZFPoVDsxdi8Gf3TTxHBoONl9fsdYzIcRo9tM1CzYH3hJU8u3iF0Ha2oCCsmhxB5ebgml+Pt6IA9u8nZ8D4ceigsXw7//d/4K+dRdPrpBKuq8FdWUrZsaRcj16yvxzNlCubu3QDkzpmDtG3CmzZlnTFJoRho+jOLxQUZVnXxBkspa4AuxrGU8h/AP/r0whT7RaJanhDIWMSyNE0nSCMSQdg20XHjiIbDEA7T+PTThN57j7FLliQavEzGd1/lIx0NyI4QnoMOIrJxozNQyctDEwIjGMRdvROZ4yO6cycAtmWhaXsni4w9e7CaGtFy/apTUih6g23D/ffj/uADTE1D83oxystxT5hAZPNmiMkKXN1U5Rtq+BcsIJhkpGq5uRjbt4OuI3w+PBUVzr3ccitMnADXXgu//S0sXgzPPQc/+UlKmx2Xn2g+HxQUYDY2YjU3Y3i9Kee1QyEn08XYsb3OmKRQDASq1LQiI509x7BXWqEVFGDFsk/EE+ELKbHdbqzktEBA+IMPqL31VibceWe3jZ4yjLMnXpQgXrnLd9hhhN57D9nRgam7EIaBzM0FTcOqqUEWFqLl5WG1t2PW1uIaP8EJmEF1SgpFVtTUwMUXw9/+RrHPR91hhxHJ8YHHg+5y4Ro3DqOuLiErGC6zYJ3TenomTADA2LkTzevtei+/+Q28+CJcdRW88QYccQTcdhvccAO43WnThLomTMCsrUHL9aek3osb5HEin3zi6LhjUjGFYjBRpaYVWROXVpiNjdjt7Yhcp8SoiEYRtsX4aBT3AQc42jNddxLKaxrC48FqbU3RvfZnAM1oIKHltqy9uu1wGK3AqaujSYkWiaD7fOB2IyORhJ5cLy7GPX58yvEGQi+pUAxbXn0VDj8c/vY3GDsW/69/Tdn3H0fz+xO/qwl33knOwQfjnT59n/TAg0XnEtkA7nHj0HJzM2ubzz4bNm6Eyy5z8k1/5zswbx68/37G4+ljSrrEteTMmNE1aNswVIC2YkigDGRFjwSr1tC6ciWBP/3JSc9j245hFgrhMg1yOjrwWxaF/34LLT/PKUkq9taxErqOjEaVAdaHxLXc7rKyhJcnZ/ZspGlix4JshGnG8sDmp3R2OYcc0qVTUllDFKOBugceTMyGdbcsgZTw4INw2mnQ2Agnnwzvvw+nndYlQA4gum0bkS1bhlWwWbrMQnYoRO7cud07MYqL4Wc/c0pYT5sG69dDZSXucCTt8XJmzOgSUNg5aFtGo0jDUAHaiiGBMpAV3RLXk5nNzQmvMJblaPFsG6sjjK1pFN90E0yahLt8spMMfm9qayeAz+NRBlgf07mDHrtkCcLlhAjZbjdSCOjowOVxp3R22aTxUyhGPdEofOtbTvU7KeGOOxxPctLsS3wmLFl3q5eWDqt0ivvdHnzhC86g4fLLIRKh+PW/IzdsQHZ09Hg8f+U83BVTnXShra1YbW3YhkHzihXD4rtTjGyUgazolrieDNt25BIuF7hczudoFID8Aw8kGHD0ZsWLFu3Ni2nbSNtGRqPohYXKAOsHkqUq/sp5lFy12AmgBKTLhcuIom3fTvHnP5/wlO1v/lSFYqSQMcVY3Fv8s585leSef546fx51Dz2c1uM8nNMp9kV7UPfEj6ibPgN+/Wv8Xi9l/9lCzo4d0Nyccrx00jrPxInoJSUItzuR8nM4DTAUIxcVpKfoFqN6J3pJqWMYJyV516JRvJEIrvHjkaeemtg+nhdz17e/jVVXB0DOYYelZLFQ9B+ll1xM+P33Cb7xBsLlwhvxU7zxQ/x33kHw3P/nePfJnElEoRipxI3heGrDnDlzCLzycpcUY97CIspeeRlXYyNMmAAvv+zoazPJMNjbTiYznHT9/sp5HPjqH7PePmMVzq9+FSor8S9ahP+NN5A7dyC+eDIcdWTa48SfibF9eyL4W/N40PPyCFdXs/u223p1XQpFX6IMZEW3JLIl5OdjNTcjhHA8x7aN7fFQfO+9BNeuTdknXV5MxcDhmTgRo6LC+e6/cRnMnUvwo4/oWLGCSGFhIu+xQjFaSFdRsvHx7+OaMDFRxVPPy8NqacH6618d43jOHHjlFZg0aa8h19gIpolwuVLyh8fbyWRGi66/88CjeNEi/K+/TvBLp5H72l/h7rvhzTfhhRegrCxlv/gzQdMQXi9WS8veA7vdWIHAwN+QQhFDSSwU3RLXpwlNQysqSgTpeU2Tcd+7G3JzM1ZBUsbx4FC2bCn+ykrnQ1ERwTvvpG7ceGRrK65IJOEp8y9Y0OX5dBuwpFAMU9JJIOxQB9Ht2/dutLsWe8MGQjlets44hOr5xxLcVbM3DqOlxdHVGgZ2KERk27aEDGA06fqTZSnbLryI2ltv7VrK/t11+P/yZ8Q//uF44f/5T5g7F6qqEsdJeSZutzM7KQR2uyPXwzDQ8/MH5yYVCpSBrOiBZH2aFg7jb21lcvVOio8/nubVb6etghSsWqPSuA0yyd9/c9UaxIHT0G0b1+7d6LY9bPSRCkVfkC71mHC7nQE/oLe0YL67jqjHg3S5sMvLMVtbqbtnOfWPPorw5Tp5w4VwUlvqOlZTU+J3NFp0/Z098ZGtWzH37EHadnrt9fHHw9q18JnPQHU1LFjg6LpJfSZafr4T/A1I0yRaU4NZV0d0165hlRFEMbJQBrKiR/yV8yj4zGeY9vHHTK7Zhf/KK4kccYRTNGSYBqaMJozqnWjTDsQqKkRICWvfQfN6ho0+UqHYX+xQB5EtW1KWiZwcJ/C4vh69poaoxwNeL9rYMoSmJdqzyJbNaLm5TsXQePpKIZAdHSk6485ZZUaacQxdPfEYBrjd2ElSiC7a6wkT4PXX4corncwg3/wmHcd+BvfEiYl0cFpODp6DDnK+XymdktQeD8LrHXEBe2qWbvigNMiKnpGS/N/8Br2lGSorCZ59DoG77iK6YwdaIIAMhZwgPoZXYMpoIa6PNMdPQITDaMEQ9rvrcB+/IGW7tFrCHjr5jME6CsUQwjtrFqHVq50PbjfRmhrsYBDNsrDb24m63ZCbi2fmTOzm5sR+jodTYMfaOGlZCSNO+HxddMYj/XfQORhR5ORANIod88RDBu21xwOPPw7z5iG/9S18q/9NsWFQN3ECMhrFCgadbEd5eeB24ykvTwxozLo6ZDSqKn0qBhzlQVb0zJNPkvP+esjPJ/g//0PdA/c7U2weDzIcdv7FGsjREpgynEjoI00TY1I5ltuNbGqiWN87Pk4XxDSSvDaK0Y1n4kRy589H8/mwWlsxd+/GZdv4WltxmyYUFuI94gi0WJaXOHYohHfGDCcOIycHpHSKJFkW+pgxI1ZnnInORUXckyY5bb+mZae9vvRSmq9ajFVUhH/tO5StX48OYJpoPh+58+eDaWJHo9ihEHZ7O2Z9PbZlDSnHi/ICjw6Ugazonk2b4Oqrnb9/8AOaX/9HYopNy8tzGkfbRoZChNavx6yvH1UdxnAgWR9pWxauo4+mrL4O/6OPwFtvAcM7j6tC0R3xmZHQ228DoOfm4tV1cmIZE+wJE5BFRY7xmxRoF960ieinnzJ2yRLKbrwJV1ERwudz0pHl5uKtqBiROuPu6ByMKNxuXGPH4iou7qK9TmdEBqvW0Lx5M1sPmUn17MOhvp6x697FZVlOxgrTRB8zhujHHzvFWYRAWhZ2czPC5xuku1aMVpTEQpGZSAQuuABCIbjwQrjwQoyXXkqdYosVpUhaMOCXqeiZLnmPr78eHngAzj8f1q0b9nlcFaObTFKfzjMjdiiEuWcPekcITYBZPhn3EUfgsm2sxkbKbryJ3bfdhhUIoOfn4507N2EAx38/cUa6nCId8cF2/DtylZQw9uqrCa5aBXT/naQ8i7w8zKlTqQUIBHC1tGC7XJiNjRjV1YkZSaRMZE6KbN3qzGhNm9r/N9pP7IuMTTF4KAN5lJGNZjSxza5qeO89mDbN0Y9BSr5Pu73dkVlEoyAEuUccgdXerrRiQ5SUZ/6978Ebb8Dbb8PXv4576lTMxqaU7XuSy6jGXjHU2Tsz4qQO87p0QqaJ4fbA2LHYsTRi8Xc9eSDZmdFoEKcjXZGhuIHcHZ2fhV5QQMTvB8Db1IReVwc+R8ai+XxOujfbBk0DtxsZiTiFXK64Ak46qZ/urv/IJGMbbbMQwwklsVCkxbNpEzz0kFNW+tlnoaAA6DTFZppIKZ2AlViyfeV1HCa43fDcc1BUBCtXUux29yqPq9IsK4YDyanE9MZG2LwFdzSKzMnB8nrTvutly5biX7AgY353BV3SeHb+nK6Ed7pUexgG0u3GmDQJKQRs34EIhxNOF3Td6VuEQMvNRfhy6XjxxYG6zbRkLE/eA0rGNvxQBrKiCyIQoOC5Z50Pd90F8aITpOpZ4zlB9dJSXKXO9LwK0htGVFTAU08B4H/kEcrOOCPrPK6qsVcMB+JBZXpTE649ewDQpk8n58gjM77ravC3f2T6/oQvFzsUcqoVxivmud0Ijwe7sBBjyhTweHB1hBAdHU5eZCmRtg1S4p40CS03F6umdtCC5Hr7biRfZ7oBgnIoDW2UxGIUkc2UeLCqio7nnmN7SQnuAw+i+MQT8Xc6TnyKLVpTg7HtU8zGpk6emKsH7qYU+8eZZ8K118LDD+O/7TYKvvFNZG5uj9PJSrOsGCqka9fiOtXiRYuou+EGRF0dErBnTEcWFlDWjW62ixQgLw8rtlxNhfdMpu8PIZChoJMqT9Ow2tvRCwqc5eEw0ufDmjsHbcMHlOzZTVNpKZbHi9B1tLw8XMXFzj4TJwy5e8vm3RjN5ciHK8qDPErIZuQbrFpD3bdvxA6F0Cybjrw86u69N+3ouGzZUsofuH9UVI8a8dxzD8ybB9u3U/D8c05gTA90TvcEqrFX9D+dPYeZ2rXounUA+Ld9Stk77+AyTaIlJbgOm427YirBVasyVvtUnr79I9P3J0Mhym68ycmZb5q4SkqYcNddTLjzzkQfYrUH8SxcSOmsWUzatQtvKITL60Xk5CQcML6zzx6kO9u/d2M0lSMfKSgDeZSQzZR4809/iti+Hd22MQoLETHNV3fT5qOhetSIx+OB5593csF++CFl7vQTS8nGiWrsFUOBTO1ax4svwqpVcNFF+ENBig4/nIKLL6b8kYfxTJzY7THV4G//6O3356+ch1ZQgHvSJPIXLsQ9dSq89hr+L36RcXt2463eiWhqTDhgPEcdNRC3kZbe3FtnrTKgHErDDGUgjxJ6HPlKibF6NZphYOflYfl8WC0tGHv29Dg6zuSJUQx9Ekbv1Knw8587C2+4AdZ0r7f0V87DXTEVu6MjpbEPrlqlEugrBoxM7Zr96TbsU05xShtfdRV5r/6RsmVLMwZYqcFf35Hp+8uZM4e6e5Y7KdxiKd2SZzGtQGDvs7npfwjeeCP+Sy9l8q5dHLhuHeXTDya4ahWtt98xaAGU2b4bmWY2AOVQGkYoA3mU0OPI96mncDc0YHvcmBMm7M1nbBjKczKCCVZVEayqcj6cdRYsWQKGAeedB/FAmgx4Jk7EU1GhGnvFgJDOuE3brrW2krN1K1ooRGTmTHj4YRAi6wCr5EBk5enrPZm+v/C77yJ8ubhKSnAVF6fMYrrLy7FbW1OfzX33Ebz0UtpPORUhJSxejPbSSxhr1w5aAGW274YKYh4ZqCC9UULxokXO6D0aBbc7NaBu50649lqKDYO6ymMwIxHsQACkxA4EiGzbRrBqTVbJ4BXDh2DVGqLbtiGjUaqvudYJ2rzvPqe63tq18M1vwq9/nTAuugRCKRQDRCbjNv+MMwm88vLedq2tDfnBB4zZVY0xaRJtF17EWJfTzXUXYOU54ICU86XL9avInnTfX909y9MG9oY3b8asq0NGo06Vwvz8pGfzK8pf/SM89RTBxYtprqlBejxYPh9aXt6gBFBm8250F8Tc+V1TDF2UgTxKSFcBqXjR1fjnHQ2nnAJtbfjPPJP8s86m/r779gZqaRrGjh3U3norOYce2qN+TzE8CFatofbWWxPJ+INVVYQ3b2bCnXfif/557EMPRfvtb+EHPyA4r7KLcVJ7yy3ISARpmkR37CBYtSYpTVYVdQ88qAwLRZ+RybgNv/vu3natrQ3XJ1sp/vQT7NJSdkyfgfXHPxLZs4fiRYsyGi3hzZuJbNnSJbuPen/3j87fX7osDsaePVhNjc4AR9fBtrGamzFbWtALChLyvuCsQ6k75hisHTvRTNMJ6DNNzOZm9MLCIRdA2V3GCvVeDR+UxGIUkTag7qc/hb/8BcaMgSeecKbBdN1prFwuRCxPpdXaSmTjxsG+BUUfUf/YY5ixvLBoGtg25p491D/2GBx4IIFz/5+zbulSmh//fsp0oTQMzPp6zObmFG9ew9PPEHjtNSJbthB47TWVN1bRZ3QXQxFctQqtoIBJvhzK334bcnPZfchMbNNMzcOb6+8ix4gbaCrncf+TTr9r1tbiGj8B4XY7ThkhEJqGsWtXigSwecUKxISJiFj+fc00EYaBsWsXkS1bujzXfSXb/Mo9xd0oHfvIQBnIo5nt22Fp7Ef++OMwfjxG9U6nsYpNS0rTREYi2B0dRHftUpWlRgiRTZucanpCOJ2SywVuN5HNm531Rx5J6NhjIRol+sabGDU1iQT/xq5dzva2ndDX2YZJ4+OPY3d0gMuF3dGhDA1Fn9FTDEXep5/g/9vfkJrGnkNmQnFxF/0nUmY20JRWtN9Jp9/Vi4txjx+PlpeXKAoiAbuTQRkfIImiImyPBykEwjSxGxqQ0SjeWbO6nG+wiomA0rGPFJSBPMpIjHylJHLyydDeDuec4wRl4XRExEfzMaRlgWEghFBelpGCANF1EbA3GKpaaFTPnIUWjaLX1ibeCRkOI8ExkmNYTU1Iw3A6uI4OzMZGojW1jkdaodhPuvPIuXbupHTtWgACZ52NCYh0eXg7OjIaaJ23HWpT9iOFzrOYOYcc4uTd9/nQi4qc2UvLQi8oSDEo4wMkLScHUVwMublITUOPRhlXXY23oGCQ76wrKgXq8EcZyKOVX/4S75YtWB6P4z2OZa0oXrTIqW5k206pT9N0shpICTk5yssyQvBOn+GkW5LS8dyYJtI0cY0fT909yzHq6rCjUcyZMzHdbuxwGC0YRErpDKAMAy0/P3E8OxRygqSam0FKhK4jLYvwhg1qIKXYbzJ55Ai0Efzd79g2eTLbKivZ09CA1daGuXGjM5sRI+5tzmSgJaNyHvcvyfKE5IGPyMlBLyxELyxk4n33paSMTN4OjwetuBhtzBiKNY2AaRL4xS+o/q//Um2Nok9RBvJopK7OKS8MNB1xJIwbl1jlr5zHhLvucoyf5IpqXi8yFMIOhwHlZRnujL36alxjxzofpARNwzV2LHphoaM31nVHb+x2Y/p8mC6XE5QXCuE98EBc48YhNA0pJeFNmxxj27YRmpYYbMVnHOIDqcGc8lQMf5ILSpQ/8jBIm7qlS7FsG9vlJhw1MBsaED4fMhrFam7G6ujoVv+ptKKDS+eBj++II5j00ENdvK3J2xEOo/l8eA45hMCsWZg+H65wGPMf/6DurrucjEsZ8l13x77soxjZKAN5NHLttTTYNpsPOpiGQID/fO4EGp5+JrHaXzkPV1ERwu9HKyhA+HxoHg9C05z0bygvy3AnMRDKy0N4vfgrK5lw113IUDARDCVNk+jHHyN13fknBMIwwLYpuuCCRKem+Xz45swB03Q8zDEtIZaFe/JkNZBS9AvNt9yKaG5BE2D4/Y6OWNchGkX4/U6aytbWLvrPZA+m0ooOPtlKEeLb5XzpVA589Y+4CgsRBQWYU6Ygc3LQgyHEpk3U33tvVvmuk8k2R3ZvUUW0hjcqzdto4w9/oOHVV2kYW4bUdRACKxik4aGHACi95GLAqWqE5oyftLw8ZEeHY/wYRmoOZcWwxV85D09FBYDjkSM1PZGMGxq2DUIghXC06+vXI8NhvLNmpab9M03CGzYgYxILz4EHItxuXCUlA3xnipGKv7LS+eNvf8PYsgXdtjEnT0a2tzvGsRBI00TzeiE3F83rTbzbmY+pch4PNdLlXe9sOCfS9rlcGFOm4N2zB62lhY7338c7+zCExwOQVa7k7nJkq8HS6EUZyKOJQAD++79pLh4DXg/EUx17vdhA85NPJgzk3LlzMRsbMevqANAnTiSyaRNS0/bmUFYNx7AnYXDEKF60yMmPHAyCZSX+R9OQbjdaNOp46FpaiGzcmGIgj736anZddx12OIw+ZgzC7U4MpLLp8BSK7ki8Qy0tRL//fYRlYVdUYOfmIsJh5z2Vcm/wqG2jJ+nku0MZxoNL8vefyZtbduNNlC1bSkNDA9Ap17Cuw/z52KtXQziMWLsWcYDjWYaeJYHdFfZQjF6UxGKY0ytd5//+L+zcieXxIPJSOw7hdmO1tiY+d9bmCbcbLS+P/JNOUhG5I4i0U4DJ2vOYZAJNQ3g8SK8XYdtoH/8HDYl/wYKEbq95xQo8Bx+McLlSA6mgV9OXSqus6EzCaAqF8DQ0YFoWZkEBpt/vzHTk5TlZVCwL6fE46b/CYfTSUqUlHWZkU6a57oEHweVK1Y+Hw8iDDsKta0hb4t6+HRF2AjV7kgT2lEZQMTpRBvJo4a23nGwVuo5eXIw0jJTV0jDQCwsTn9Np83Lnz1eV9EY4zStW4Bo7Fs3vR+TmOkExQjjZTKREahrukhJsBGLrVuq++90Uw1cG2vAfd1yKnjCbDk+h6I74O+Rubkbv6ED3eJBjxiAjETSfDyElObNmOcHF7e0gJdqYMSClSkk5zOiuKEwynokTu+rH//d/8ZxyKlZuLraUuLbvwNq9u8fASxWsqUiHMpBHA5EIfPObjifw29+m+IorHIPHtsG2sSMRME2KL7ssZbfOwRPKOB75JHdOwuXCc9BBTtEYKZGAVlSEOOggpN8PHWHEjh1OtcUkw7dzxcVsOzyFIhNG9U60jhB6U5OjDJs7F3JykKaZaKMqfvkLXEVFzgBv7Fh0n08NxoYhnb25kU8+IbJlS8KbG123LmXWyjtrVqKPAohs2YKRn080NxdD03C99x5l55zT7aynCtZUpENpkIcxWes6ly+Hjz6C6dPh1lspjemy6u+7z0nK7vdTfNllCf1xMsnT70qnN/KJ6/r0oiKncl5TE66SEiSg+3xYgQCusWMp/t7d1C1dhl5fj65pWLFAPC03l+i2bWmPmYyavlT0BnfZOMy//gUdMPPzcRcXw549XTTGViDglCO27cQyNRgbXhQvWkTdPcudnMexnOvSMChetIhg1RraH/s+ImnWKvrppzB/fop2WS8qgtxcxJ49FO/Yjn/JEpg1C448MuN5VbCmojPKgzxMyTotzaZNcPfdzt8//jHEjOPSSy4m59BDyTn8cA7+5z8oveRipf1UdJlqlNEo0jDInTuX/IULcU+ahOeAA/B/5Su45xyFrWnoe/YgYh4fOxQid+7clA6mN9OXKhepogtSUrx9O9IwMbweon4/0ZoazKYmx0DasQP/ggWAE1zsTsrrDmowNtxI9uZara1YbW1Iw6B5xQrqH30U4fOlyLU8U6eCaXaRcgmvF3vcOJpnzYKmJvjCF2D9+gG/H9WvDl+UgTxM6dwYmHV1mI1NqVOJUsIVV0A0Ct/4Bnzuc4N3wYphQUpCftNE8/mY9NBDlD9wf5dti799I3L8eGxNw1VdjdXclNbwzXb6sr9ykSqGOStW4H/1j+RHwkRyfMj2dqKffOJUVCssTHlPEoMxw1Ba0mGMv3Ie3lmz0Nxu9IKCxHMOf/BBl/iZ+AxBZymXd9o0vDNmYEw+AE47bVCNZMXwRBnIw5R0uk7c7tSpxJ//HP75Tygrg3vv7XKMqc8/x9TnnwOU506xl3jnJDwerECA5hUrCFatwb9gAXZbW+IdASh7+OFYmkCJa/MWym64Ia3Mp3MVtHTbqGC+0Um3Hrbt2+Gqqwj6fARmHILIyQFdd/6PRJDhcIpzID4YEzk5Sks6zIls3OjEN6S0Bz7sXbtStovPEGTMRHHAAfDb3zpGcmOjYyS//37ac6rCHopklIE8TEnXGGAYe6cS6+rg+uudvx96CMaMyXgs5blTJBOsWkNo9WqkaSbeh9pbbnHyI3d6R3C5YOZMDti9m/L17+FfuXKfz6uC+RQpWBZcfDG0tdF86KGIyZOdYiBSonk8IAR2u1PYIdk54K+ch/f4BT1WZlMMbbRcH97p01OWuQ84ABkOp5VrdSvl8nodI/lLX3KM5IULnbicfkY5noY3ykAepmTSiiamEq+7Dpqb4eSTqaup7VYDpTx3imSaV6xwPDe6nngfrLY2rNbWtO+I5fNRd+yxTuXFu++G3/9+n86rcpEqUnjgAfjXv2DcOIwJE9Fyc9GLihBeL9KynKp50ShmfT1mbS1mQ4MyQEYQ6doDze3GNXNmWrlWd1KuugcepO77j8OLL8LJJ0N9veNJ/vjjfrt+5Xga/igDeZjSXSBD8PHH4Ve/Ap8PfvhDJ49tNyjPnSIZo3on3unTnUjwxELDiSpPQsvNJbx5M3ZbGwHDpPqkkwj6fHDRRfDJJynbBqvWYLe1YezaldGTonKRjj4yetjeew9uvtn5+8kncU+dmjCWtPx8x7tsWWDbSNN0lhcVJQyQvCuuUFPlw5xM7YFWWopWUJB2hqBzatIuswdeL7z0EpxwAtTWYs2rpOE7N/fL9SvH0/BHGcjDmLSBDPX11D3yqGOo3HYbTJvW43GU506RTFr5TkwLmIyxZw9WU+NeD0npWOoOnk4wEoGvfhXCYSB7T4rKRTq6yPhevPVvR1phGHDllfClL6UYS8LrxTVpkmMgC4FwudDHjMEzYYIyQEYQmdoDffw4/JWV+z4Ays2FlSvh2GPRW5op/tET0EnXnMy+ZqFQjqfhjzKQhzldAhl27UKEwzRXVMDSpVlpoJTnTpFMuvdBLyhALyxMWWbW1uIaPyHVQzJzJs3lk2HdOli8GOidJ6VHD5BixJDxvbj9dtiwAaukhLryyUBXY8lbUYHIz8c1aZJTGCSWvlIZICOLfWkPsgq0y8uDV1/FKC9Hjwfu7dnTR1ftoBxPwx9lIA9zrEDASaYOiHAYPvkEzbYxDphC9U3/w67rrlOeO0WvSPc+TLjrLnIOPRS7oyOxTC8uxj1+fMq+WkEBxoEHIl0u+NnP4Cc/UZ4URVrSvheA8Z//AND21a9C0qxFZ2PJXVLieJmTUAbIyCPZ4A1WrSHyr1W9CnrL6CQqLKTlW5djTpgAmzfDSSc5AXx9RH87nlR+5f5HGcjDnERifClx1daClNjl5bhnzMiQJkd57hQ9k+598EyciKeiIrEs55BD0ntIpk8n8NVznQWLF+PO9StPiqILXT1sEnv9e7gjEbj0UoyDp3fZJ9lYGn/HHbhKxqiZr1FCXJIjw+Gsg966k3cFq9bQ9u9/88mUCqpnHELw44/hlFOgrW2frq+zwaocT8MfZSAPc+KjVNHYiOjowPJ6kePHUbxoUYp3OU53njuVA1LRG7rzkISPPprQZz4D0SjFq/6FbGvbL0NGeUtGHl3en/98jGwLUIwkuGhRwuu39dQvUb3s+i77KwNkdJGQ5LjdWQe9ZZLx1D/66F7DOS8Pc/Zs6sonE/zwQzjzTOjoAPY/TZtyPA1vlIE8zPFXzqPsW9/CU1+P5dJxHXkEZf/7HcDx0pm1tZj19Rj19UQ++UR57hRZ03lqM/Daaxi7dhHdscMpHNKDgdJ+xplw7LH4t2+nrLEBLcviDWqgNjpIeX/a23Ft/Ziy+jpYsoS6H/4w4fWzOzoIrV6d1jhRBsjoYV+kWpn2iWzZkmo4l5QgDj+c5vET4B//gPPOI/jWv1WatlGOa7AvQLH/+J95Bn/1TiKHHIL3N78huOYd6u5Z7lSTikadNEiWhRUIoOfnUbzo6sG+ZMUwItM0ZdzIzV+4EKCLMW0FAkQPm03x9h3433qL8SecSPCss5Txq0gQf38KnnmGnO3b4dRTqd69O2a8xIqAxHTI8Up5itGJu3wyZieNcE8On0z7IGVXw3nMGIxDDoHWFli5kua6esRBByay9+h5eVikfw9T2rwdOyhetKhf39WBPt9oJSsDWQhxaw+b1Ekpn+iD61H0lr/8BZ59Ful2EzjrbLxCJKaV9Lw8hMuFHQggTRMZiagpSEWv2TtN6RgsPXUUKcZ0KETdoYdS1tqC/x+vY06ePAh3oBjKeD78gJz314PfDz/8IcbSpZhtAezWVoTXi93ejjRNgv/+d2LmIhk14BodFC9a5GiQDQOpaUlSra4On7gcK7FPNApud2Ifb6b4iYMPhttvgy98AWN3LbquQa4/UUsgnce6JwdCX7+fPZ1P0XdkK7GYDzwMPJLh3yn9cXGKHujocPKEAuLOOym9+7tA6rSSlpODa+xYRF4eWm6u+gEpek1PU5vJkoi0mr+yMpqP/xwAhS+9OCAlXhXDhLY2iv7yF+fv734XpkzBXT4ZDAPbMLBaWhJV89B1NcU9iolLckSWUq3kfTrLwMYuWZI5w0RlJbzyCm7Lwt5ZjV5fnzheOo/1QBcEUQVIBo5sDWRLStkmpWxN9w+Q/XmRigzcfTds3QqHHgrLliUWd44Ot8NhZCiE1dam6sErek13+Tw7B89lNKZ9OXD++dDeDmed1WOkuArKGyV85ztOkYbKykTe7OJFi5CGAdGoUwhECJASz5QpyhAY5fgr5+E9fkFGzXm6diOdTr3HAM8TT6R46VKkpiGamtAaGjIGFw90GkuVNnPgyNZA7skAVgbyQPPRR3DPPc7fP/pRSraK5Ohwq6MDOxAAIZxKeyrQQNFLepPPM7MxPRl++lM47DAn5+gll4BtZ2UI728kuWKIsn49/OAHoOvwk584/8cQbrdTKc8wkFKiFxfjKipShoCiz+gpwNN/3XWUfeubuEwT0dSIq709rcd6oAuCqAIkA0e2BrJbCFGQ4V8hoPd4BEXfISX89387SfK/+U347GdTViePju3WVkRODnpxMbrPp6ZjFL0mm3RacUM3bkybjY2Yzc2pxrTfDy+9BIWF8Lvf7R3gdUO2ZaoVwwwp4ZprwLbhqqvg8MOBvc8bcAxml8vZVjo+GGUIKDIRH0g3P/88TStW0PT884kB9b5mxvF/5zsUzpvH1O3bKf/9SvwN9V222ZeCIPszQ6Yq3w4c2RrIq4Fru/n3at9elqJbnn4a/vlPKC3NaGTER8d6QQG+2bPRfL7EOuWFUfSWdN6WZM9u4LXXiNbU7NUJulxgml2N6YMOgvjg7DvfwbN5U7fnVXq7EcpvfuO0YSUlcPvticUpz9vrTSy329uVIaAAIO+KK7oYu/GBldnaih0KOYF8HR1EPv202wF1NoZzx/HHE/z8550Zja9+Ff7975T1A52PW+X/HjiyTfN2DHA+IDKsfxpQWSz6mboHHkQE2xn76KPOggcegDFjut1Hz89X0zGKPqezZzc5V62/ch6eigoAyh95uOvOp53mGEW3307BL39J07XXdTl2PIWRjEZwV0xNWa8GeMOcUAiujxX++O53obg4scqo3oleUgqAcLnQ8vKwYkVmXCUlFC+6WhkCii7EB1ayowOh6yAE0raxmprQKyr2O0Vg8NQv4a+ogCefdNqvN96AWbMS69Olu+xPBvp8o5VsDWRLSpkxqkYI0UWDLIR4EvgyTgq4w5KWLwEWAybwBynlt9PsWwT8FDgMR998mZTy3523G43krfy9Uy/+85+Hiy7qcXvvrFkY2z7tkuZG5UJW9Jbkhjg59Zvd0eGk4jIMam64geLLLiO6bRt2MMjWU7/E+Dvu6No53XILwX/9i+aPNhH59QuE21opvvgSgBTDW1oW0Y8/RvP7E7MgaoA3zLnvPtixA4480pGIJZGct1YvKsI7bRrhTZvQfL70gy2Fgr0DK2majoEMjpEcDu/3gDrR7pkm1NfDypXwxS/CW2+BSls5osnWQN6XIL2ngO8Dz8QXCCFOBM4EDpdSRoQQZRmO9wjwJynlV4UQHiA3w3ajCvfHH+N7Z42TOP+HP0zkZsxEcuGG3bfdhhUIKC+Mok+Id0h2RwdWS0siDZfZ0kLDQw8hpQQhsDs60uboDL6zlrq8fITPh7sjjPn229TV1CL8/pScy54pU4hs3ozd1obIyVEDvOHOjh17ZWGPPpoSmAcZ8tYaBt65cwfhYhXDhfjASrhcjq49lvlE5OT03YDa5YLnnoOTT4Y333T+f+MNRybUC/qqyIfyHPc//RakJ6X8F9DUafF/A8ullJHYNnWd9xNCFADHAz+LbROVUrZkf0sjk+Cbb9L+pz/x6ZQpVB//OYItrVnvq8qxKvqaeCS13d7upOLSNAQgpHQ6kljuWuHxpNUMN69YgcjPx5o0CYRAr92NaGkmsmlTSgojV1ERnunTkVIqvd1I4IYbnPzt550HCxZ0WZ1OXznpoYcof+D+QbhYxXAhHrgWn3WSlgVSoo8Z07e69dxcx4N86KGwaROcfrrzPpOdnlkFHQ8vsvUgx4P0Mrks/5TlcaYDC4QQ3wXCwPVSys5vxjSgHvi5EOIIYC1wjZQymOU5RhzBqjXUXX8DwrLQXC7MsWNV5RzFoJJc1QpdBymRto1wuRBuNzIYBMvCqK3FDoUw61Ojv+MeaDMnB3PiRNy7dqH952MYW9pFM6+53XgmTSJ/4ULlNRnO/POf8MIL4PM5MosMKH2lorfEB1a7b7sN0zSRpgkuF96pU8HlIrhqFcFVq4A+eKeKi+HPf4Zjj3UC9hYtgl//ustsSDp6U5VUMfhkZSBLKe/ow/MV41Tmmwe8IISYJqWUnbaZAyyRUr4thHgEuAm4Jd0BhRCXA5cDlJeX09DQ0EeXmh2trdl7cveVtsceRaupQbdtIuPGOdNGlsXunz9J4bSpPR8ACHU4RsdAfz/DmYF4tsOWaVPxXnEF4W/f6OSqdbkQhYUgJXYwmEjLhaY5ubjDYbYuXoI+fhx5V1yBXVaG2dSM1eRMMmkVU2DHTjytrRhNTVjhMLhcyOZmZEcH+oEHEuoI9en7q55v/9H+hBOznXfFFc4Cy6LoqqtwAcGrr6bD54NunuX+tlfq2Y5cMj7baVPRP/uZlOnsnCuuoP2JJzA79g66+6QN8XrRf/UrCk87De2ll+i44gqCd9/do+wxtO1TtDElWJYFQDQaRbrdRLdtU30zQ+93m60Hua+oBl6MGcRVQggbKMXxGCdvUy2lfDv2+Tc4BnJapJQ/Bn4McPTRR8vS0tJ+ufDu6NdzSkngvfVoloVVWAj5+Xg8HqTLhVVXn/W5S2++uf+ucQQzGO/TsOGkk7A//2dCq1c7hR3cbrTcXKJNScoqw0BoGu4DDoCtW8mdOpXS0lJ8X7+MunuWY0kJmgZTKpAtrZR9shXGjGF3SSlWezu+8eMpXrTI8QBVVWE//UyfehXV8+0fbJ8jk0l8v088AR9+CFOm4L/tNvxJaSfT0RftlXq2I5dMzzb+3sRzDPs++ZTWN9/CCgTQ8/PxzprVd+/FccfByy/DF7+I76c/xXfIISkVbdMRrpjqBKHGvM0ejwervR1XRYV6X2MMpe8hWw1yX/E74PMAQojpgAdIGTZJKXcDO4UQM2KLvgBsHMBrHFr88pe4GxuxvR7MceMSi1Ukv2Io4Jk4kdz58xOaUb2gwDF4OyFycrACgcTnLvmSS0spe/AB/CUl+N95hwmBgNLMjxTa2uCW2ATg/fc7EguFop+J1tRkTEXZZ5xwAjz1lPP39dfD88+n3axzISVV5GN40G8GshDiWeDfwAwhRLUQ4hvAk8A0IcQHwHPAJVJKKYSYKIT4Y9LuS4AVQoj3gSOBu/vrOoc0jY2wdCnFLc3I8slI2+7xR7U/FXoUit5Stmwp5Q/cnwgCdY0Zg1ZQ4HhI4kF6Hg/Gjh3o+fkp+8bzJXunT3cM4ZNPht/+Fjwect96k5w1a1LO46+sHOjbU+wDXUqDX3+9I6c47jg455zBvjzFKKBs2VIwzUTRGRmJYLW2YrW2UnPDDX1rJF9wAdx7r/P3xRfDv/6VcVNV5GN40W8GspTyAinlBCmlW0pZLqX8WSwjxYVSysOklHOklH+PbVsjpfxS0r7vSSmPllIeLqX8ipSyub+uc0hzww3Q0IC/spKy++5VPyrFkMeo3ol78uREeWAZ+99ub8fq6NhrNFWtIVi1hui2bUS2bEkso7ISHn8cgPzf/gbefXeQ70jRG5Kj9O1IhI61a6n762sEfT7He9yDRlOh6CuM6p1oubnY4TBWc7OT/k3XsQKBvs8ccf31sHgxRKNw5pmwMfOkt8oqNXwYaA2yIlteew1+/nPweuFHP8I/Y4aK7FYMWeLvZPWOHZiNjeglJYlOSdo2uFxOCpxYaqPaW291DOhYtHk83VHZjTfh/+Y3oaoK8ZOfwNlnw9q1BLd+0ie5QxX9S3KUvgiFcLc0g2XRPHs2/mOOGezLU4wi4rmR7UAAoWnO4My20XJzE6kn96UNic/QpvTDQsDDD0N1Nfzud3DqqbB6NUyY0Dc3oxgUBlqDrMiGYBC+9S3n79tugxkzut8+vlvnqU2VW1ExwCTykeo6wufDVVKC0ASeAw5w5BZCYNbVYdTWYrW14SopwVVcjJ6Xl5ov+bHHHG/y9u0Ev3IWdcvT5w7NJClSUqPBIe61AxCGgdbSiiYlxtixg3xlitFGQu9rGEhwBupS4p40qcfqevvUfug6/OpXMH++UxDntNOgvV31y8MYZSAPRW6+GbZtc0qxXn99YnF8xJruh6sSkCuGAskaO0wTzedDH1OCOxZgarW0OJX3LAsMI2XflE7L64Xf/AbGjqV561ZEXV3CwO5iTCv6lP0ZXMQLyAB42toQgF0+CfeBB6U9rhrIKPqLRCCwxwOWhdB19KIiXMXFiSD3TO9ksKpq307q88Err8BBB8G6dQS/fHrawb1/wYJ+mwlWv6m+QxnIQ43Vq+GRR5zR6M9+Bm53VrvtndpURoRicIlr7MZceCEHvvpHcmbM6FL8A13v8m53ycwyeTI8+yyGx4O2bRtaUhaMnjxAisEh4bVraCACBH0+IoZJzpw5g31pilGIv3IeeSeeiF5YiF5Y2KlcfT9ljhg7Fl59FUpLad6yBVG9E+F2q355GKIM5KFEJALf+IYT4HT99dCLTiV5ajOOMiIUQ4Hk1Ea2YTiFRAzDiSwPBLrPzPKFL+CePh1b03DV7EJEo4BKczhU8VfOI/+MM7Db25GahnC7cU2cSOCVl4nW1BCsqlLeLcWA0jkVZTzIPZ5bvV846CBYuRLD60WrqUVPKgKi+uXhgwrSG0p873tO9OvBB1NXVAwPPJj1NEw8ICEZZUQoBovk9zY+1Vl9zTXQ0eEs9HicQL49e7AsC9+sWRQvujpt0EzxXXdSd/l/YTc3o1dXY02ciIyEyZlzEq3PPdclcC+u+VMBfYND+KXf4Q2H0QREp0zBM3Ei0Zoa2l9/3clo0taGf8ECAPWcFP1OZ2li/HO89HQywao1tKxciVVXR/ijjwi99x5jlyxJvJe9alvmz8c9dy5mVRWu+npkbMZM9cvDB+VBHgLUPfAgjdffAHfH0j3/5CdppRXdif1VAnLFUMcOBp0iIrqOEAK7uRmRl4e7pKTbdEf+Y46h7MEH0TUNaRq4duwg/4wzCbzychdtX8PTzygt/mDS0YHx4Ydotk003ykaYzY3Y9TUIKNRcLmwOzqoveUWam+9VT0nxaAQrFpD68qVhDdsoPHpp9l24UU0PP0MtbfcgpXk7Q1/8AG1t96aSEvZ67ZlyhTMMcVYmoZeW4NVXd2v/bIKCOxblIE8FLBtCl54wQlauuIK+NznumzS049TJSBXDGWaV6xw8pAKsfefrmOHQikV9jLh/8Ln8Z99FhW7dlH+5huEX3wxveb+ySeVFn8/2O8O9rHHcAeD2Pl5iRRXxq5dAAkdpvB4sNrasFpb1XNSDDjBqjXU3norZrIhvHEj9Q8/7MzCahpoGkLTnHe1tZXmFSv2Kc7HM3EiOV9YiCguxtZ1XBs2UPb//l+/9MsqUL/vUQbyEMD3r3/h3rkDysvhnnvSdlLZ/DhVAnLFUMWo3oleVOQE58UQug6m2aXCXibMSeUEzj7bOd7776NZVsp6LTcXq7UVY88eJ1NG0nKl+euZ/e5gm5rg7rudyp+Typ30WlI6AZpSIrxe7FAIo7YWu60NOy63iaGek6I/KVu2lLJlS2lescIZnOn6XkPY7YZIBNnRkVLMRug6MhrFqK7e5zgfz8SJ+C68kAmFRZTv2I7/hhugpqbP708F6vc9ykAebD78kLw/ver8/cMfEty0OW0nFd68OasfZ7wRUCiGEu7yyehjxqRU2LOjUbTcXMbfcUfWxwlXHgPf+AbuSAR77VonXVwMOxRCLyzskj5Oaf6yY7872HvugdZW/J/5DGV3352YzdLz89HHjHEkNlI6hgmAEcUOhxO7q+ekGAiM6p2O3Ce5qqOuO59j7VMcaVkIjwd3eXlKCsM43b2zyY6uwN//TsMJJ8BnPws7dzo5krOYOevtfalA/b5FGciDSTRK8IIL2DW2jK0zZ1H919eof+wxhC8XOxTCbm1NdFKyo6NXP06FYihRvGgRmtuFlpfndESWhdAEJVddlfVMR2Lw99hjFJeWICMRtJoapG3v1dxfdpnjubQspcXvJfvVwVZXw6OPOn8vX54ymzXxvvuwW1sTm0rbBrcb4XJjtbaq56QYUNzlk53cyEmGMJaF8PmctskwEhVAZTSKXlhI8aJFvYrz6Twbo5eUYFTvJHj77XDwwfDee3DuuV0G8/t7X8pG6FuUgTyIBBcvpq61DTMnB3v8eMzGRsIbNmCnKaAgcnK6/Dijn34KLpWIRDH0iWvkXUVFCLcbz+TJlH//cUovubj3ie19Pvy//S1l7QE8ra2IhoaE5r70kovJnT8f4XIpLX4v2a8O9o47IBx2Ov2jj05Z5a+ch15cjHC5Eh7knBkz8MyY4cwmqOekGECKFy1CLyxEWtZeQ9gwcJWU4Js3zyn2ESPnsMOYcOed+Cvn9SrOJ+NszMrfOzmSx46FP/8Zrrwy1VDfz/tSgfp9izKQB4u33qL5D39ESIk9cSLC5Yr9iHwYO3akbGqHQuQcckiXH2fu/Pl4Jk4cpBtQKHpH3KvonT6d/IUL988YOvhg/N//PuW1NRz44QeUX/b1RIq3yMaNjucnP1+lDusF+9zBbtoETz7pTFP/3/8lFifLvXIOOQS9sBAtLw/X2LG4iovRPB48kyapmAnFgOKvnMeEO+/EVVqaWJYzaxZFX/sa1p49CCnR8vPJP+kkKn7xTMp7mW2cT7ezMQceCCtXOob4T3+6N3tVH9yXCtTvW5SBPBi0t8PFF2O4XWgVFdhJPyT35MnY7e3YwSB2ezuh9esx6+sTHX3yj1MZx4rhiL+ycm8u0v3JmnDBBQSmTkOYJvy//0fwn/9MTGvG04mlCzJTpVjTs88d7M03OxlKvvENmD497SbFixallb54Z83qhztRKLrHXzmPwtNPJ2f2bEouuYSxV1+dSBuJy4U0TUKrV+9zBogeZ2OOOQaefdaRdNx8MzzzzP7eEqAC9fsaNT8/GFx/PWzdinvmTMzyckhKNyPDYYTbjYxE9k69JAcTxFDFEBTDkeQA0mSdnh2J0LF+PUb1zl55PRqPOgpvUyOeLVtouPIqxFFHITztiFDImd6MBZmp30Z2xDtYILtg36oq+O1vHW/Ybbd1e9xJDz3E7ttuwwoEcJWUZCwMo1AMNHslEU7bga4j3G6aV6xIFBTpTfB78aJF1N2z3AkGdLuTZmOu3rvRmWc6uv0lS5zB5fjxcPLJfX1riv1AeZAHmj/+EX70I/B4KL7lVmQknDKlae6uxT15Mprfj5afT+4RRyDDYXYndT7RmhqV71Ax7Oms00s2aCE7T2/uZz5D4PL/Qro92MF2tKYmAPSiIrzTpqko7v5ESrjpJufva66BHma0lHdLMZQoW7YUf2UlkCqJ0IuKyJ0zB+/06fvcdmQ9G7N4MdxwA5gmnHMOvPvuft2Tom9RHuQBpP7OOxlz//3oAP/3f/gvOJ+yAw9M8aqYY0pwjxuHWVu7d0e3O1FMoWzZUqqvuTYx2gXQ8/KwQHnKFMMKo3oneklpyrJ9MWitceMInHMO7n/+E3Pjh4gpFUivF1BR3P3KX/8Kr78ORUXw7W8P9tUoFL0m7hWu3rHDKRKSRKa2I1tPctazMcuXO3mRV6yAL30J/v1vmDo1yzvoikrz2ncoA3mgkJKCF15ADwRgwQJY6rzEnX9E1ddci9nY6BRViGMYKcUU+sqwUCgGE3f55Kw7pe6I1tQQaGnBLizENgxcu3Yhp0xJO62ZLE3SP/4Pvq9fpgaVnciqg7Xtvd7j//kfKC7uu2MrFANMJklEzpyTaH3uuf6VMmqaE+S6ezf87W/wxS/CW29BaWnGXeIza+r31L8oicVA8cgjeD/8EDsnB55+OqWiWLCqimBVFdA1kjxaU4PZ1ITZ2JgIYlL5DhUjgfi7bgUCToW1mhoiWzaTM2dO1sF70ZoaQqtXO8E1EyficrkwAVlT02Vas3NuUrupeVRJk/o0OPGFF2DdOpg0ydFQKhTDmHSSiPwzzkwE7vW7lNHjgRdfhCOPhP/8B778ZejUxysGHmUgDwRVVYkpyLbzzu92+iT5h2q1tmLu3o2Wl4dWWJj4gebMmaPyHSqGPf7KeeSfcSYyGHQq4rlcuCZMpOXZZ6m95ZYeO6Zg1RraX38dq7XVKThhGHjmzMEbjZLb2kr5iSekeHs6a541v1+VYt0XDMOJvAe4/faUvLEKxXCls0Y+/O67+126uVeVbQsKnBilKVPg7bfh/PMdbbJi0FAGcn/T3OykoHK52D77cOo+/riLR8xfWZkIFnA+Oz9Ud0kJ3unTnR9m0g80/O67Kt+hYkQQfvdd9DFj0PLzcZeV4ZkwwTF429q6VJNM7pji3mAZjTqzMbaN1dyMadvYpaUYHrcTGb5rV2IfVYq1j/jJT2DrVpgxAy69dLCvRqHoFwalvZgwAf70JxgzxsmV/F//5ciZFIOC0iD3Awl90NLr4LLLCNbVUVcxFbO4GOHxJDxiZTc6Gr5M6dqsQAD35Mkpx47/QHudjkmhGIIY1TvB7U5ZJqNRhBCONi9G544p4Q12u52KWJqG0DSMXbsQ+fl4QyHYvh0uusgJJtP1PtM8jyR6rWVsb3eq5gF873uqkqdiRJH8O+jP9qLb390hhzjG8cKFjjY5Lw8efjiR7lWleB04lAe5P3n0Ufjd72geW4aYNQvh9aZ4gusffbTbdG16fr7SGitGNO7yybjHjUsJShUeTxejOf7ex3W0ce+OlpfnlCu2bSRgt7cjTRP9xBOhrMzJsnDffUBXfb8dDCppUm958EGoq4P58+ErXxnsq1Eo+o2BLt2cEiPwmc/A737naJMffZTgSScBXeMoVIrX/kUZyP2E8eqryGXLnL8PPBBtzJiU9VpuLpEtWzJqnMqWLWX8HXcorbFiRJOuE9ILC9ELCrpUXUt+7+OBqprPh15UhNB1sCz0ggImPfQQk374AycYFuCWW6CqqksgjjameNRIk/arYmGcurrEYIN77klbwEihGCkMeunmk0+GF15Aahr+v/0N7r67SxxFtrpoVT1031AGcj8gQiHKVv8bYVlw9dW4Z89O6wlGym41Tj39QHsVAKBQDEHSveMT7ryToq99DRmJINvbMXbuJP+MM1M6pmTDWuTkOEZ1YSET77tv73annALXXusEunztaxAIpATiFN5116gxjvvE6/R//+dILL78ZTj++P65WIViCDHoxW3OPJO2C76GFAK+8x2MtWtVHMUAogRkfY1pUvCrFbiDQYzyctz33kvx+vfT5lj0HnJIF8M5smULWlJUuNIaK0Y6nd/xYNUaAq+8jPB6QdNwT55M4JWXgVS9fv4ZZyZylOr5+Xjnzu3agS1f7sgs1q93qlbFvcqjiOQyurC3sFD9Y49hNTRkp2XcuhWeeMLxGn/vewN38QrFINPX/W5vNcSRo44iYEQpeOEF3J98gun1pqSJVbLL/kN5kPsSKWHJErybNmF5PLRedDF4vRk9wWOXLOkqoTAMvLNmDfadKBSDRsKg0/XENKJtWjQ+/v0UL2jglZfxzppF0VlnceCrf6T8gfu7HszrhWefdVKRPfMMPP/8qJt5SReNbxsG4Q0bsvcq33KLk97tkkvgsMMSi9XUrUKRPZlmcxqefiatBCpuTO/eVUP1l75ETkcIufVjaGxUsssBQHmQ+5L77yf49NPUTz6ADr8ffv972nfsYOzVV2f0BJfdeFNKqWnXuHF4Jk4crDtQKAadeKXI5MA9s7ERaVpOAB97vaCRjRt7/r3MnAkPPABXXglXXAHHHgsHHNB/NzDESBeNb+zYgfD5unyfacvVr13rDDK83r0ZLBQKRa9JN5sTbWuj8fHH0XJzU4zmLoVKiscQmDmL/I820mEYRGwL16xZFC+6ulsPtMp6se8oD3Jf8etfE7ztNmrHjXeM41gAS3jjRmpvuYXqZdcnquUlk6xxKl60iMjGjV1GkaPN46UYfSS/4+kqRcpgMK32zgoEsjvBFVc42tmWFrj4YqcwySghfTR+R8YUkl2Il5RevHhUDSwUir4m3WyO1dSENIyugXdPPtk1IG/aNMKVlUyuqeGg996j/MBpPRrHKuvFvqMM5L7grbfgootoLirGKihwvDKxvKzC7cZqayOycWOX3ZKnJ6M1NepFVihIb9AJtxu9UyYYOxRCz8/P7qBCwM9+5qR+++c/4f40cowRSjqJV85hh6HFvMdx0moZ//pXeO01KCyE//mfAbxqhWLkkW7wb4dCCL8/ZZmWm4vV2po+IC8vn8CZX3EWXHNNtzEB3WW9UPKonlEG8n6iffIJnHEGRCIYEyciXa7U9Ee6DoaBFQjgr6xM6wkuW7YUTHO/y1oqFCOBdAZdyVVXobldXVIejr/jjuxnV8rK4KmnnL9vvhl9/fp+u4ehRudo/LFXX91zCknLghtvdP6+6SYoKUk5Zp+kjlMoRhFpB/8uHVen35YdCqEXFhLZsgWrpSVlubu8nI4FC2g791zH1vjf/4XvfMeJgeqEqh66fygDeX9obKTwggugsRFOPRX3Zz7jeI+TX1TLAre7R0+XepEVir10NuhKL7m4b3KSnnoqLFkCpkn+FVdAMNg/NzDEySrH61NPwbp1UF4OV1+dsr+aulUoek/6wf9iNJeO2diI2dy8d7B62WVIw0ibD75s2VIKXngBfvlLxwl3991w3XVdjORMHushmfXiuefQtm4d7KtIQQXp7StSwtlno3/yCRx5JDz/PMUfbSK8ZQtGIAC2jbRtMAxcY8f2mJlClcFVKLqnz1Ie3nMP/P3vuD78EJYtc9KXjUK6/T5bWx3PFMC990Jubkp53Eyp49IG+SkUigTpfne+mTOpXrIEGY3iKilJBN6F33+f4BtvJIzpLgF5X/uak6HnvPPgkUeguRl+/GMnoBbHY50uxWzxoqsJrlo14PeekR/8AK66isJJk+DDDx1J1xBAeZD3FSHg2msxDzwQfv97yM/HXzmPCXfeiau0NLFZzqxZFH3ta12C7zpPT+bMmaOq5ikUSfRbcKrPBytWID0e+NGP4JVX+v4cw53/+z+nct5nPwvnn99ltZrxUij6Dn/lPDwVFXinT08UJAlWrSGycSMyGkXPz8+cfeKss5w2LJ7K8vOfhz17Escd1GqA2fC978FVVwEQ/ta3hoxxDMqDvH+cdRYtxx5L6fjxiUX+ynkUnn46waoq/JWV+Bcs6DIVWXvrrSAlMhJJyemaXPgg7WhRoRjl9NZgTvZ6pnDEEQRvvpm8W2+Fyy6D99+HEZ5eMevv7j//cbxRAA8/nLakdPKMl9XSQuSTT3CVlakZL4UiC3r6LSZLmHC5sDs6qLtneWbj9pRT4M034cwznaQB8+bByy/DUUel9VgPidRvUjqzVMuXO23ME0/QcfbZ+Hvec8BQHuT9xdX9GCNdFKnV2orV1tYlIC/87ruDW9ZSoRgG9FX0dfi//gtOPtmJIbjwwlGV+q1bli1zioJ8/etw9NEpq4JVVdQ98GCXYCMZjaoZL4ViHwlWrSG6bRuRLVuovuZa6h97LMVuEB5Pz0H7Rx0Fa9Y4ed537oTjjoPf/CbtuQY9fsC2nbSRy5c7GuoVK+Dyywfu/FmiDOR+Jt1UpIxGnQ4oCTU9qVAMMJrmlJ4uK3PKUS9fPthXNOB0kbH85S+wciXk5TmBPzHiHqfIli0EXnvN2Tc2dYtpovl8Q2/qVqEYBsQNVmma4HJhNjY6VS5jNoJeVIR32rTsbIRx45y27NJLIRSCc8+F2293DNIY3aV+GxBM07m+H/zA0Uq/9BJccMHAnLuXKAO5n4indOscRRr55BPnh+B2p2yvAvIUikFg/HhHtwdw223O9GQPjNj8oYbhRMID3Hyz892QeboXIH/hQrzTp5O/cKEyjhWKfSBusLpKSnAVF8cMVh/Gjh0p22VtI3i98OSTTvVQTYM77qDw50+itbUBgxw/0NbmGO2/+AX4/fDqq3D66f+fvTuPj6o+Fz/++Z5ZMjPZN9awKhAQJQJBKqK4tNaK1ra27stt1atWrbdql18Xa7drb3HrohZ7tbZVqdZq63JbtXVFxIiARWQnQCAhezKT2We+vz8OM85MJskEsud5+8pLMnPOmTM5yTnPfM/zfZ7+f93DJDnI/SBxRCZ1FimhEEZWFpa8PHQg0GlmqVxkhOgbGefZnXkm3Hqr2Tzk4othwwZIaHM9ajz4IGzeDEcdBTffHH84sWKF8nqTb/darQSrqwnt3y9tbIU4DKGafViKS5Ies02aRHDbNnRWVqcYISNKwde/DrNnw8UXk/XRR2T98hcwaya2sjLCTc1Jiw/IAN2rr5ppW3v2QGGhGRyfcEL/vuYRkhHkfpa9qBLb1GlEfT60z4fhdJK9dCnjf/SjoT2zVIghKNPmFL3Os/vJT8yJLXv2wNVXpy26P6I1NsL3v2/++6674mWi4OMRp6jfT9TrJVRbS6C6Gu/GjYSqd2M4nVILWYjDlK5WsWG3m90u+6Lu+6ZN5iS+lha45BIKt2xBt7cPXMUsn8/8wH3aaeb5deFC807dEA+OQQLkI1J/1914Mqihap8wAfvUqbgO/UJ4166l5bHHyJozRybkCZGh3gS9vc2zq//lr2g6/QzIzTUntjz0UH+/naHl9tuhtRVOP93sDJrAVjaJ0MGDRFpaQGuUxYL2+4k0NhINR6T7pxBHIF13Pe3zUnrTTX0zaX/iRHjxRfjtb81ytC+9xJiqd7EGAv0/QFdVBfPnm1VxrFYzH/rtt6G8vO9fqx9IgDxAIm433nfeSbq4e995h+CBA4O9a0IMC90Fval5wYeTZxcpKfm4acjXvmYWrB8NVq+GBx4wZ5OnKetWeMklhGtr49/raBQFYBidmhvJZGMheqevahV3OzdCKfjKV+Df/4bTTye7ro5p76xhav1Byj71SbIXLuiDd5KgsdFsf/2JT8CWLWaqxzvvmB/EU+ZfDWUSIA+QSFMTymZLurjbp00zZ3QKIXrUm6D3sFusXnyxOcPa7ze7U6W0os40xWPY8PnMOtBawze+AXPndloke1EllsJClNUaH0G2H3WUOY8i5ecjk42F6L1YreJ+v6M8ZYpZqeb++4lmZWHfvh2WL4eZM81R3ra2w9+21vDmm3DJJeao9U9/albP+PrXYd06WNDHQfgAkAC5n8UuqNH2diJtbeZM8ENktEWIzPUm6O3qtmVGeXa//KV5C/DDD83anIfykYdE/dC+9v3vw7ZtMGeOObrTBUd5OZb8fIycHKylpeZs+6IilM0m3T+F6Cf90k3UMOC662j6zndxL19uBs07d5p5wmVlcOON8PLLcOBAZnMxmpvhF7+AY46Bk0+Gxx83K+KcfTa88YY5p8Hp7Nv3MECkikU/SiqPlJUFFguR1tb48zLaIkTmUivCJM7s7njzzaRlY7ct626/vfedKXNy4OmniR5/PMbjj5u3CW+4IamaA2A2/cFM/RiWcwjeeQfuvtu8YD7ySNLEvFSFl1yC97330JFIPBg2bFaKv/pV6f4pRB/INBDusjtoL2mXC9+yU8l99lmz9vl998Frr8GvfmV+gVnNZ84cM/idPRsCAbMJSeJXYprVuHFw1VXm15QpR7R/Q4EEyIcpNjIcamulpqExbXmjxAuqJS8P7fWigajH0/uyLUKMcl0FvUDacm7pWqym01U5OPeXLiD/j38wawPPn5+2HNOwvQvk95sll6JRM7Vi0aJuF89eVIlr8WI63nornicZC4ajjY3AkV+whRADJ+nv9bzzzK8PPoD//V94/33zDlpLizmprrv68HY7nHIKXHutWdN4GOUY90QC5MOQNDLs+PhWa2pifeIF1XA4sEyYgH/LFnQwKKMtQhyG1KC3q7SHTCe5dLd+oKIC7949uN54A774RWzLzyE8xHNuMx5d+sEPzMkz5eVwxx0ZbbvsrhV9NnolhOg7Gdd878lxx5kjyWCmVxw8aAbKH35oni+cTpg8GSZN+vhrzBjzLtQIJAHyYUgqnB+JdHmrNer1EW7ahrLbAbAWFGAtKMBwOim7797B2XkhRpCe0h56CuS6W98+eTKes5fjOjT5pPCDjdSPn5A2xWNYqaqCn//849QKh2Ow90gIcZh6GiQ47A+1SpkpE+PGmeUfR6GRGfb3s0xn02fNmYMOhZInsYRCZM2ZM5C7K8SIdaRtU3tc32KBP/0Jxo0j+513GJOfN7wb/AQCZpWOaNRMHVm8+Ig32S8TiYQQnaSrotPbmu8iczKCfBhsZZM61f9Md6vVPmECLF5MYPPmeM6kdexY83EhxGFJDMa6+1vMZOSkq/WVy5V8y/LHPyb72mvJ/t3vKLnscgJnnDE8g8If/tBsJz1zJvzoR4O9N0KIDHU1Uhzp8GKfPDlp2WE7N2KIkRHkw5BJCanYJz3v2rUAuE44gbL77qXsrhXD88IqxBB0ROXculg/3NhIuL4++UL04ot0/Nd/AZC3ahXWPXv68231jxdegP/+b/PW6cMPH1bpJRktFmJwdDVSrH2+w6v5LnokAfJhSOx8g9/f6VZr6ie9qM+H9513hne9VCGGoCPtQpVufWtJCdbSUpTdTrStjXB9vXnLMhCAK65AhYIU/O9vzUkrw8WWLWYTFK3NkeMlSwZ7j4QQvdBVOphyOI5okEB0TVIsDlNsNr3X56Xsu99Nei514k9WeTkRj2f41ksVYghLV86tN7O6U9ff/YUvdFHObT+seoLA2nfJ2vIRnHmmWf5o4sR+fHeZ6/I9t7WZJZza2+H88+H//b/B3lUhRC91lQ7mKC+n8JJL0tZ877PqFqOUjCD3gyOdOCSEOHxH2vGu2459NhtZ71WZk9v27oVPf9qsFTrIunzP77xjtn7duhWOPdasWqHUYO+uEKKXuksny15UiZGXh23ixHir6hHZ+XOASYDcD3rTElcI0beOdFZ36oVIB4PJtyyzs+H5583OUps2mcXxE1rID4Yu3/N3vmvmHhcVwV//anYJFEIMO71NJ5PqFkdOAuR+cKQTh4QQvZM4eexw7uAkrh+7EGlAd3QQbm5GubKTVyguhn/8A8rKYPVquOACCIf79D31Rtr33N5GaOcOs1Tdk0/CtGmDtHdCiL4QSwcr+Nzn4iPFXQnV7CN08CCR1tb4Y3Inu3ckQO4D9XfdHS8pBUc+cUgIcfh6uoOT+vfapVAI5XRiHTsWtO58e3LSJDNILiyE556Dq64atCC503tubyf6wb+xBUOwYsWoLfQvxGiRvWgR2Qkt421lkyAUSlpG7mT3Tr8FyEqph5VS9UqpTSmP36iU2qqU+lAp9T9drPtfh57fpJR6Qik1JFs9jbnl6+Rce23a53rzSU8I0Xf64g5Oy2OPoWw2lMXS/e3JOXPMFAanEx59FD77WfB4+vgd9SzxPePzEXn3XbTWFJ6wCL72tQHfHyHEwEnXQKTwkkvMRmWRiNzJPkz9OYL8O+DTiQ8opU4FPgscp7U+BliRupJSaiJwE7BQaz0XsAAX9uN+CiFGkL64gxOq2Qc2W9JjXd6e/MQn4OWXzbSLF1+Ek0+GAweO9G30Suw9W8JhjJoarF4vY8aPI/uJJ2RSnhAjSGot8q4m4wG4Fi9GWa1yJ/sw9VuZN631G0qpqSkPXwfcqbUOHFqmvpv9ciqlQoALGNirTS8E16/HJ2VUhBhS0pV+605q1z1b2SRUUxPhhOCy29uTS5bAmjXwmc/A+vVwwglmsHzssUf4TjKXvWM7095Zg4pE4ItfhN//HhxD8uabEKKPpJaVteTkEAEafvELIk1N6GAQa1HRoMYmmXQ1HYoGug7yTGCpUuongB+4VWudVHNEa71fKbUC2Av4gJe01i91tUGl1DXANQBlZWU0Njb2286nCq5fT/t990FHB9jt+Orq8P74x+TceAP244/HuOJygAHdJ9F32traBnsXxBHw+syc3MS/v+D69bj/8Q+0xw0fbSZ4wQXYjz++07LG8rMJ/vJXRP1+sFrRLS1onw/7FZd3/fdcWIh6/nnyLrsMW1UV0RNPxP3II4SWLevX94nWOH/1K7J/+EMU0HL00bTNnUuOxzMo6R5DgfztjlxybJN5q3djFBUTiUQACAaDRLxeIjt3gmFAKESoo4P9CbHJgO9jmnNxOkPt2A50gGwFCoHFQCXwpFJqutZaxxZQShVipmFMA1qBp5RSl2qt/5hug1rrlcBKgIULF+qSkpJ0i/WLmudfwJKdgwqaifBZhYVEbDaiz79AySc/OWD7IfrPQP4+ib5VktLAp+PdKtwPPogRDEJ2Drg9BB58kPxvfouo06wAET/en/wkHfkF8eL7znHjMhuBKSmBN96AK67AePJJ8i+6CO67D6691rxY9bVIxMwx/vWvAXCfey6tDifZ2Tmj/nd3tL//kUyO7cf8U6eZDUQsFgDsdjve2lqzqk0kQjQSwepwYM3LG7TYpNP5tRtD6dgOdBWLGuAv2vQuEAVSfxpnALu11g1a6xDwF+DEAd7PjIRq9qGkIYgQw0JqXVAjO7vbuqCHPdHW4YAnnoBvftOsavHVr5opF2++2YfvBvjgAzjrLDM4ttvhT3/Cd/IpffsaQoghLf2kZB+2yZOTlhus2CTdBMLhYqAD5GeB0wCUUjMBO5A65r4XWKyUcimlFHA68NFA7mSmbGWT0NIQRIhhoav6yP4tW/r+BG4YcOed8PjjMGECvPeeOXnv/PNh584j2/a2bXDRRVBRYU4OLCgw//+lLzHmlq8nlXoSQoxs6SYlO449Fu3zmaUfw2GiXi+huroBj02Geze//izz9gSwBpillKpRSn0FeBiYfqj02yrgCq21VkpNUEq9CKC1Xgv8GXgf+PehfVzZX/t5JMxPbj5pCCLEMJCuPnKoro5IS0v/ncAvusgMaG+/HVwuePppswPfrbf2vkX1nj3wla+YpeVWrTKrbNx0E3z0kRl8CyFGpdS7XTlnnEFo716IRgGI+v2E9u7FMX8+0Ita8EdouHfz67cAWWt9kdZ6vNbaprUu01r/r9Y6qLW+VGs9V2s9X2v9r0PLHtBafyZh3du11uWHlrssVvViqMleVEnOjTdIQxAhhoHUW5HRjg7CdbVYx4/v3xN4djb84AdmoHzllWbaxV13QWkpzJ9vpmD88Y/myHJsOobfb6ZQ/OlPcMcdZlWKmTPh4YfN56+6CrZvN/Obx42Lv9Rwvp0phOgb/vffxzZlSnzeg+F0YpsyBf/77w/ofqS7axc6eBDvunUDuh+Ha6An6Y049uOPx9qLclJCiMERuxUZm3hnKSpEtRVjGzuWYHV1fLnEXL0+/ZueOBEeeQRuvBG+9S3417/MknDr18P995vLlJZCXh7s3h0f/YlTCi6+2Ay2Z8zotPmubmfKh3YhRpdQzT5sY8cSrq0FwHnMMehodMBzkG1lk8wJhEk7F8KSmzssSr9JgCyEGDUS6yMbV1yO/0c/7nQC7/d5BPPnw0svmeUh33vPrJ+8Zg28/TY0NJhfhmEGwbNnf/z1iU+Yo8hd6Koeastjj0mALMQIlxhopgtMB2N+VOEll1D/szvNDp82m5mGGgqRtWDBgO7H4ZIAWQgxaqU9gfu8FF5yU/+/eHY2nHKK+QVmesWuXeDzmcFxVlavNheq2YelOLkokFTVEWL0iZ/XIhEwjIE9ryVIvWsHoGw2vGvXEsjNJWvOnAHdn94a6CoWI1Jq60chxPDQF22p+4xScNRRMHdur4NjSD8JMZNRo4GasCOEGBix85ptzBiMrKyk89pAz1OI3bVznXAC+lDDEOV0EvX58L7zzpCeJyEBshBiVEn9QHvY9Y6HmPT1UKWqjhCjUbrz2mCWXQts3hyvaKEDASJtbUTa2jhw221DNkiWAFkIIYaQTEd0U5cbUqPhQoghZzDLrkXcbgyXi6jfT6SlxZyEbLEQcbuHbG1kyUEWQogRInESYrq0r+Ewc1wI0TdS/84Ha57CmFu+TnDvXsJNTUTdbpRhmCll0SiGyxUP0h3f+26/7kdvyQiyEEKMUlI3WYjRI5N5Cv01JyGeAhYKoQEdjYLW2CZOHLKTiSVAFkKMeqNxou1wbwMrhOidgZinkBhgJ/47lgKm7HaIRFAWC5aCAqyFhYNSgi4TEiALIcQw0xcjv8O9DawQoneyF1VimzqNqM83KPMUshdVknPqqVjy87Hk56McjiE9mVhykIUQYoiIBb4Rt5vg3r0UXnJJp4tX6sivb+NGvO+9x8R77jFHaTIcCZe6yUKMPqGaGlRWFgWf/eyg3DWzT5gAixcT2LyZiNuNtbiYwktuIntRJb7GxgHfn+5IgCyEEEeoLya/ZdoqOrVjHnZ7/PHuRoJSg2/lyj6suslCiJHvSM9pXX3Yj21vOEwYlgBZCCGGgExbRacb+cVm63bkN13wHW5oAKUGp4ugEGLISQxqLYfR6S62fqipiZY//QmsVozs7C4/7A91koMshBBDQKhmH4bLlfRYupSHdDPRCYW6HflNl29sLS3FWlIidZOFGCU63q0iWF1NpLkZ9yuvJM1dSP0Q3dtOd4nrEwqho1Gibjc6EEg7v2E4TIyWAFkIIXqpP0ohZdoqOnEmesTnI3TwIOGGBsJNTV1ezLoKvrXPNyK6CAohutfxbhW13/8+UY8HIhHCra3Ufv/78XNG6odoZbejbLaMJ+0mrq/DYXN9wyDqdgPDc36DBMhCCDEEZFqCKVYuCSDa3IwCjKIigC7LtGUafAshRqaGX/6S8MGD5jeGAdEo4YMHafjlL4HkD9FRn+/jD91r1mQ0ipy4vrJaIRIxU7jCYXObw/B8IwGyEEIcgb5qttFdq+h0baUNp9NMkxg7FovT2W2ZtoGofyqEGLoCW7aAzWZ2sFPKDGJtNgJbt1J/191EvT6iXi9Rn49Iayv6UICLxdJjffTE9QGMnByIRMxtWCzD9nwjAbIQQhymvm62EWsVnUnKQ8TtNi94Cbq6jdld8D0ccgGFEEdIger8UFzWnDlon5doe7sZQCsFWmOfMiWj+uix9XUwiHI4sE6YAEph2O3Ddn6DVLEQQojDlGnlif4oaWTJzTUnxBwq8wbd38aMBd99vR9CiKEva+Ys/Js3g9YA6HAYHQ7jOFSpwj5hAoUXXMDeq66CaBRsNiz5+VgLCtDRaI/5w7H1626/nYjbTdacOWTNmIF9woRhe76REWQhhOiFxJSKjjVvEw0Gk57vi8koHe++2+MkwKw5c9ChUNq0if6YRCiEGL5Kb7oJa2mp+Y3WYBhYS0spvenjso7ZiyqxT5yItaQEa2kphsMBdP/BO/F82PLYY2TNmRO/A2afMKHf31d/khFkIYTIUGpKhY5ECO7YgZGdjeF0AgM3GaXsrhV0vFsVH7FJ7EjV8eab/f76QojhI3tRJeN/9CNqbrwRHQySvWhRPCc4saGHZexYItu3myv1UB89XYpZcPduWLwYGP53qiRAFkKIDKWmVNinTCGwdSvR9naUw9EnzTbG3PL1pNHf7tpP9zZtYrhfsIQQhy97USX2qVMBKLvv3i4DXPuMGUQOHuz0wTtVuhQzZbMR2Lx5IN9Wv5EAWQghMpTaxc5aUICeOZPARx/FJ7/FLiaxIDd76dIuA9yeZNp+WgghMpG9aFH8310FuJGDBzP64J2uq2fWzJlEmpr6Yc8HnuQgCyFEhtLVEzZsNuwTJ6atPBE8cKDXVS4Sc/oO3HYb0XAkqQNeJjPKhRCiJ+kaCGXNnNnpsa6M9PrqEiALIUSGuqonnHVoJniqwObNnVo8dxfgpo4YR9xuQjU1RP3++DI9TQLsq7rMQoiRJ7GsY3cBblflHxMnAI/0+uoSIAshRIa6qifc1WztiNsdH42JtLYS2LWr2wA3td2r4XKBUvF2rdB5hCbxQtbXdZmFECPXkQa43dVXHwkkB1kIIXoh3cS4rqpGWHJze3ULMjWnzzZxIoGdO81ybkkXsPSTADOtyyyEELEAN10lnN5sY6TWV5cAWQgh+lgszSHU1ES4qQmsVrTW5khNNwGurWySufwh1sJCohMmEKqp6TQJMJ10k2b6oi6zEGJkGskB7pGSAFkIIY5Q4oUlMc3Bkp+P4XQSrK4GwCgpid+CTNddr/CSS6j/2Z3oYDBeg9SwWck59dSMOlKlBtgwsibNCCEGT3clJ0ciyUEWQohe6moCC3TOI7ZPmICRnQ3RKBG3m5bHHusyJ7i7HOdMuuuN9EkzQojB0d38hu7Oh8OZjCALIUQfiAWvqWkO4ZYWoh4PRCJJFxbb1GlpJ/f1Jsc53bpHmlMohBhdMgluR+P8BgmQhRCiD6WmOYT27zf/YbHES71FMEvAdVX94khITqEQoq+NxvkNkmIhhBB9KDXNIer1gtYouz2+jOFyEUko3daTMbd8PakDlhBCDKSR3hQkHQmQhRCiD6XmEVtyc7EfdRTWko9HX6JeL5bc3EHcSyGEyNxonN8gKRZCCHGE0s3ujqU5ZC9dSv3P7iScUJki3NCADgRofeaZtLPBE1Mj6u+6m+CBAwQ2b8549rikVggh+tJonN8gI8hCCHEEuprdHTxwAOg8ogyAUub/Muh2FzxwAO8770h3PCHEoIrNbyj43Ocou+/eER0cgwTIQghxRFLLullyclBOF4HNm+PLJF5YrMXFWEtKOi3f8thjabcf2LwZZbN1Wr7u9tt7LPsmhBDi8EiKhRBCHIGuZnfHmoNkunxXs8EjbjfK6cx4+0II0V9GU/qWjCALIcQR6Gp2tyU3N21zj97OBrfk5kIolHb7Qggh+ocEyEIIcQS6mt097o470pZm681s8I53q4j6fIQbGggfPEjE54svnzVnzkC8PSGEGJUkQBZCiCPQVXvo1AkssXasmS4fm/wHYBQVoYFoc7O5rUPtp4UQQvQPyUEWQogj1NvudZksn9ja1QJYnE50MIi1uBigU1m5kT6jXAghBpKMIAshRD+I1UZufeYZar52c6/LsoVq9mG4XMkP2mz4t25NW1ZOyr4JIUTfkQBZCCH6WFe1kdMFsfV33Z22XFu6yXyEQmifL21Zua7KxAkhhOg9CZCFEKKPdVUbuTdBbOpkPuuYMViLi1AOR6eR5e7KxAkhhOg9CZCFEKIPxCbhQfr0iNQgNnH5dLqazOcoL+9VmTghhBC9J5P0hBCij9nKJhFuakp6LJMgNpZqEQucu5rMV/+zO9HBINhsCWXiburLtyCEEKOajCALIUQf602t497KtEycEEKIwycjyEII0cdiQWzd7bcTcbuxFhdTeMlNaWsdJ5Zrw2rNqL5xb8vKCSGE6B0JkIUQoh/0FMSmq3QR3L0bFi8e6F0VQgiRQgJkIYQYBImNQACz0oXNRmDz5qTlZIRYCCEGnuQgCyHEIEitdBFuaSHS1kZw797DaiwihBCi70iALIQQgyCxEUjU5yO4cyc6HAabTbrjCSHEIJMUCyGE6CfdpUcUXnJJvFxb1OMBiwUAS14elpwcIphpGF1Vp5DUCyGE6D8ygiyEEIMgqVxbMIhyOLAUFmI4HIB0xxNCiMEkAbIQQgySWKUL++TJZE2dGg+OQbrjCSHEYOq3AFkp9bBSql4ptSnhsT8ppTYc+qpWSm3oYt1PK6W2KqV2KKW+1V/7KIQQQ0HWnDn91lhECCFE7/XnCPLvgE8nPqC1vkBrXaG1rgCeBv6SupJSygL8GjgLmANcpJSa04/7KYQQg8o+YYJ0xxNCiCGk3ybpaa3fUEpNTfecUkoBXwJOS/P0ImCH1nrXoWVXAZ8FNqdZVgghRgTpjieEEEPHYFWxWAoc1FpvT/PcRGBfwvc1wAldbUgpdQ1wDUBZWRmNjY19uZ89amtrG9DXEwNHju3INlSOr9dnlnprbGxM+rc4fEPl2Iq+J8d25Bpqx3awAuSLgCe6eE6leUx3tSGt9UpgJcDChQt1SUnJke9dLw3Ga4qBIcd2ZBsKx7fku9+N/zvqNBuHDIX9Gu7kZzhyybEduYbSsR3wAFkpZQU+DyzoYpEaYFLC92XAgf7eLyGEEEIIIWBwyrydAWzRWndV4LMKmKGUmqaUsgMXAn8bsL0TQgghhBCjWr+NICulngCWASVKqRrgdq31/2IGvE+kLDsB+K3W+jNa67BS6gbgH4AFeFhr/WF/7acQQgwVMjlPCCGGhv6sYnFRF49fmeaxA8BnEr5/EXixv/ZNCCGEEEKIrkgnPSGEEEIIIRJIgCyEEEIIIUQCCZCFEEIIIYRIIAGyEEIIIYQQCSRAFkIIIYQQIoEEyEIIIYQQQiSQAFkIIYQQQogEEiALIYQQQgiRQAJkIYQQQgghEkiALIQQQgghRAIJkIUQQgghhEggAbIQQgghhBAJlNZ6sPehzyilGoA9A/yyJUDjAL+mGBhybEc2Ob4jlxzbkUuO7cg1WMd2ita6NPXBERUgDwal1Hta64WDvR+i78mxHdnk+I5ccmxHLjm2I9dQO7aSYiGEEEIIIUQCCZCFEEIIIYRIIAHykVs52Dsg+o0c25FNju/IJcd25JJjO3INqWMrOchCCCGEEEIkkBFkIYQQQgghEkiALIQQQgghRAIJkIUQQgghhEggAbIQQgghhBAJJEAWQgghhBAigQTIQgghhBBCJJAAWQghhBBCiAQSIAshhBBCCJFAAmQhhBBCCCESSIAshBBiWFFKfUop9ewAvM67Sqlj+vt1hBBDj7SaFkIMWUqpzwK3pXnqReCPwONpnqvVWn+xD/dBAXcCVx166H+Bb+o0J0+l1Bzg98BRhx5aB9yktd586PkC4D7grEPP36+1/kGa7ZwCvAb8RGv93TTP24F/pdtfrfVJSqnfAOkCuxuBE4BL0zz3MPAhcFea59YDtwz0a2qtb0z3ekqp94AbtNbvpHs+Zdm/AsVpnjofuBY4I81zP9Fa/59S6kvABVrrL/T0OkKIkcU62DsghBDdGA/8QGv9SuwBpVQO8CvABbyWGkAqpf7cx/twDXAeMA/QwMvALuDBNMsewAy89mDeofsqsAo47tDz9xza76nAGOCfSqk9WutHEvbfhhlEr+1mnwygWmudFHQmvPdirfVJKc/dAOQfeu0rtdY7Ep6be2i/DwC/01r/Ns12B+M1O1FKVQL5mQTHh4TS7NcKwAGUA8u01uGE55YDYw99+zfgQaXUeK11bYavJ4QYASTFQgghuncFcJfWukZrvR9ztPPKdAtqrVu11tWHRpcVEAGOTljkHOB/tNZerXU15mj0l1M2cwvwErClT9/FyHEW8HriA4dSLrYqpdqUUvcrpV5XSl3VxfoZ01r7Me8CfOpItyWEGF4kQBZCjApKqYuVUq3dfE3uYtVjgI0J328kfSpB4mu1An7gl8BPU59O+ffchPWmYAbMP8zoTY1OxwJbY98opUqAPwPfxkyl2Aqc2Iev9xHm3QMhxCgiAbIQYlTQWj+utS7o5mtvF6vmAG0J37cBOYdyk7t6rQLM1IIbMPN3Y/4OfEsplauUOhozGHYlPP8L4Htaa0/v3+GoUQC4E77/DPCh1vovh1IlfgHU9eHruQ+9phBiFJEAWQghuucB8hK+zwM86SbpJdJad2DmKf9eKTXm0MM3AT5gO/BX4AmgBkApdQ6Qq7X+U9/u/ojTAuQmfD8B2Bf75tBxqenD18sFWvtwe0KIYUACZCHEqKCUukQp5enmq6sUiw9JvsU+79BjmTAwR4gnAmitm7XWl2itx2mtjzn0/LuHlj0dWKiUqlNK1QEXADcfqsIgPvYBMDPh+1qgLPbNoZH9stSVjsBsklNshBCjgATIQohRQWv9mNY6p5uvrlIsfg98XSk1USk1AXMS3e/SLaiU+qRS6nillEUplQfcjTni+dGh549SShUfev4szAoZPz60+vcwA7+KQ19/Ax4C/qMP3v5I8iJwSsL3LwDHKqXOU0pZMSuHjOuLF1JKZQELMCuXCCFGEQmQhRCie78BngP+DWzCDMh+E3tSKfWhUuqSQ98WYKZNtAE7MStYfPpQNQQwg61/Y+a1/jdwidb6QwCttVtrXRf7wkzF6NBaN/fz+xtWtNbvA21KqRMOfd8IfBH4H6AJmAO8BwT64OXOxSwleKAPtiWEGEakDrIQQnTjUE7rNw59pXv+mIR/PwU81c22ngSezPB1r+zVjo4u38GsWnEegNb67xxKu1BKGZg5yH2Rh3wr8JU+2I4QYpiRAFkIMdTdpZRqSfjegjk6C3CZUuqklOXTdU0biT6plHot5bFYsF6a5rmJwNWH/v2YUsqX8Fw25sg4wG1KqdSud6FBfM1OtNYvYdaKBkApdSZmYxUfZudFBcQaiRybZr+Owmw2A2azlsQJl8Uc6uyntT6hq30QQoxs0mpaCCHEsKaU+gFmS2s7sBmzvXd3nQiFEKJbEiALIYQQQgiRQCbpCSGEEEIIkWBE5SCXlJToqVOnDuhrhsNhrNYR9WMUh8ixHdnk+I5ccmxHLjm2I9dgHdt169Y1aq1LUx/vtz1RSj0MLAfqtdZzEx6/EbP9ahh4QWv9jZT1HMAbQNah/fuz1vr2TF5z6tSpvPfee330DjLT2NhISUnJgL6mGBhybEc2Ob4jlxzbkUuO7cg1WMdWKbUn3eP9Gar/DnOW8O8TduJU4LPAcVrrQEL71UQB4DSttUcpZQPeUkr9n9b6nTTLCiGEEEII0af6LQdZa/0GkFrg/jrgTq114NAy9WnW01prz6FvbYe+ZCahEEIIIYQYEAOd7DETWKqU+gngB27VWlelLqSUsgDrMLtQ/bq7cj1KqWsw27VSVlZGY2Njv+x4V9ra2gb09cTAkWM7ssnxHbnk2I5ccmxHrqF2bAc6QLYChcBioBJ4Uik1XafUmtNaR4AKpVQB8IxSaq7WelO6DWqtVwIrARYuXKgHI39F8qFGLjm2I5sc35FLju3I1d/HNhQKUVNTg9/v73lh0WcikQjBYLDftu9wOCgrK8Nms2W0/EAHyDXAXw4FxO8qpaJACdCQbmGtdeuhDkifBtIGyEIIIYQQfaWmpobc3FymTp2KUmqwd2fUCIVCGQevvaW1pqmpiZqaGqZNm5bROgNdB/lZ4DQApdRMzK5HSTkRSqnSQyPHKKWcwBnAlgHdSyGEEEKMSn6/n+LiYgmORxClFMXFxb26K9BvAbJS6glgDTBLKVWjlPoK8DAwXSm1CVgFXKG11kqpCUqpFw+tOh54VSn1AVAFvKy1fr6/9lMIIYQQIpEExyNPb49pv6VYaK0v6uKpS9MsewD4zKF/fwAc31/7JYQQQgghRHek1bQQQgghxDBz5ZVX8uc//7nPt/vaa6+xfPnytM+tX7+eq666qs9fsyfPPvssmzdvjn+/bNmytI3h/v3vf3PllVf2yWtKgCyEEEIIIXr005/+lBtvvHHAXzc1QO7KscceS01NDXv37j3i15QAWQghhBBiCPnRj35EeXk5n/zkJ7noootYsWJF2uVeeeUVli5dysyZM3n+eXO6VnV1NUuXLmX+/PnMnz+ft99+GzBHhpctW8b5559PeXk5l1xyCbEqu3//+98pLy/npJNO4i9/+Uva13K73XzwwQfMmzcPgNdff52KigoqKio4/vjjcbvdvPbaa5xyyil86UtfYubMmXzrW9/iscceY9GiRRx77LHs3LkTgD179nD66adz3HHHcfrpp8cD2nSPv/322/ztb3/jtttuo6KiIr6Np556ikWLFjFz5kzefPPN+H6ec845rFq16kgPwYCXeRNCCCGEGBbUHf0zWU/f3nWD4Pfee4+nn36a9evXEw6HmT9/PgsWLEi7bHV1Na+//jo7d+7k1FNPZceOHYwZM4aXX34Zh8PB9u3bueiii+LpCOvXr+fDDz9kwoQJLFmyhNWrV7Nw4UKuvvpq/vWvf3H00UdzwQUXdLlfc+fOjX+/YsUKfv3rX7NkyRI8Hg8OhwOAjRs38tFHH1FUVMT06dO56qqrePfdd7nvvvv45S9/yb333ssNN9zA5ZdfzhVXXMHDDz/MTTfdxFNPPZX28WeffZZzzz2X5cuXc/7558dfPxwO8+677/Liiy9yxx138MorrwCwcOFC7rzzTr7xjW/07qCkkBFk0SfuXXcv9667d7B3QwghhBjW3nrrLT772c/idDrJzc3lnHPO6XLZL33pSxiGwYwZM5g+fTpbtmwhFApx9dVXc+yxx/LFL34xKTVh0aJFlJWVYRgGFRUVVFdXs2XLFqZNm8aMGTNQSnHppZ1qKQBQW1tLaWlp/PslS5bw9a9/nV/84he0trZitZpjrpWVlYwfP56srCyOOuooPvWpTwFm+kN1dTUAa9as4eKLLwbgsssu46233ur28XQ+//nPA7BgwYL4dgHGjBnDgQMHulwvUzKCLIQQQgiRRncjvf32mjrz10wtXaaU4p577mHs2LFs3LiRaDQaH9kFyMrKiv/bYrEQDofTbicdp9OZVEf4W9/6FmeffTYvvvgiixcvjo/gJr6GYRjx7w3DiL9eT++jp8cTXyfxfYBZx9rpdPb4fnoiI8jiiFXVVfHPvf/k2R3Pcstrt1BVVzXYuySEEEIMSyeddBLPPfccfr8fj8fDCy+80OWyTz31FNFolJ07d7Jr1y5mzZpFW1sb48ePxzAM/vCHPxCJRLp9vfLycnbv3h3P7X3iiSfSLjd79mx27NgR/37nzp0ce+yxfPOb32ThwoVs2ZJ5T7cTTzwxnif82GOPcdJJJ3X7eG5uLm63O6Ntb9u2LSkV5HBJgCyOSFVdFSuqVuAL+3BanTT5mlhRtUKCZCGEEOIwVFZWcu655zJv3jw+//nPs3DhQvLz89MuO2vWLE455RTOOussHnzwQRwOB9dffz2PPvooixcvZtu2bWRnZ3f7eg6Hg5UrV3L22Wdz0kknMWXKlLTLlZeX09bWFg9U7733XubOncu8efNwOp2cddZZGb/HX/ziFzzyyCMcd9xx/OEPf+C+++7r9vELL7yQn//85xx//PHxQL4rr776KmeffXbG+9IV1Zuh/KFu4cKFOl1dvP7U2NhISUnJgL7mUHLLa7fQ5Gui3lcPwPT86XiCHoqdxdy17K5B3rsjM9qP7Ugnx3fkkmM7cg3Esf3oo4+YPXt2v75GTzweDzk5OXi9Xk4++WRWrlzJ/PnzB3WfAO655x5yc3P7pRZyKBTCZrMd0TYCgQCnnHIKb731VjwnOlG6Y6uUWqe1Xpi6rIwgiyNS464h25b86TTblk2Np6bLdWRCnxBCCNG1a665hoqKCubPn88XvvCFIREcA1x33XVJOcZDzd69e7nzzjvTBse9JZP0xBEpyy2jydeU9FhHqIOynLJB2iMhhBBieHv88ccHexfScjgcXHbZZYO9G12aMWMGM2bM6JNtyQiyOCIXll+IL+wjGAmitcYT9OAL+7iw/MK0y8uEPiGEEEIMdRIgiyNSOa6SWytvxWl14gv7KHYWc2vlrVSOq+y0rEzoE0IIIcRwICkW4ohVjqvk9MmnA3Dzgpu7XG7VllU4rU7sFjsAOfac+OPpAmohhBBCiMEgAbLoE90FxjE17hpKnCXg+/ixnib0CSGEEENdbOJ5JtdCMTxIioUYMGW5ZXSEOpIekwl9QgghRO9deeWV/PnPf+7z7b722mssX7487XPr16/vlxJvhyNxP59//nluv/32Pt2+BMhiwPR2Qp8QQggx1I2myec//elPufHGG494O1protFoH+yR6eyzz+Zvf/sbXq+3z7YpAbIYML2Z0CeEEEIMdf01+fxHP/oR5eXlfPKTn+Siiy5ixYoVaZd75ZVXWLp0KTNnzuT5558HoLq6mqVLlzJ//nzmz5/P22+/DZgjrsuWLeP888+nvLycSy65hFizuL///e+Ul5dz0kkn8Ze//CXta7ndbj744APmzZsHwA9+8AO+/OUvs2zZMqZPn84vfvGL+LJ33303c+fOZe7cudx7773x/Zo9ezbXX3898+fP580336S8vJyrrrqKuXPncvnll/PKK6+wZMkSZsyYwbvvvgvAu+++y4knnsjxxx/PiSeeyNatWzvtm1KKZcuWxX8GfUFykMWAynRCnxBCCDHU9cfk8/fee4+nn36a9evXEw6HmT9/PgsWLEi7bHV1Na+//jo7d+7k1FNPZceOHYwZM4aXX34Zh8PB9u3bueiii4h1GV6/fj0ffvghEyZMYMmSJaxevZqFCxdy9dVX869//Yujjz6aCy64oMv9mjt3btJjW7Zs4dVXX8XtdjNr1iyuu+46PvjgAx555BHWrl2L1poTTjiBU045hcLCQrZu3cojjzzC/fffT3V1NTt27OCpp55i5cqVLFy4kMcff5y33nqLv/3tb/z0pz/l2Wefpby8nDfeeAOr1corr7zC//t//4+nn3660/4tXLiQN998ky996UuH9XNPJQGyGHD9ERj3ZoKETKYQQgjRF/pj8vlbb73FZz/7WZxOJwDnnHNOl8t+6UtfwjAMZsyYwfTp09myZQvTpk3jhhtuYMOGDVgsFrZt2xZfftGiRZSVmfN+KioqqK6uJicnh2nTpsUbbFx66aWsXLmy02vV1tZSWlqa9NjZZ59NVlYWWVlZjBkzhoMHD/LWW2/xuc99juxss8vu5z//ed58803OPfdcpkyZwuLFi+PrT5s2jWOPPRaAOXPmcPrpp6OU4thjj6W6uhqAtrY2rrjiCrZv345SilAolPZnMWbMGA4cONDtz7Y3JMVCCCGEEOIw9Mfk81jaQyaUUp2+v+eeexg7diwbN27kvffeIxgMxp9PbBNtsVgIh8Npt5OO0+nE7/cnPZZue93tfyxoTre+YRjx7w3DiO/b9773PU499VQ2bdrEc88912kfYvx+f/xDRV+QAFkMe6NpgoQQQoihoz8mn5900knxQNDj8fDCCy90uexTTz1FNBpl586d7Nq1i1mzZtHW1sb48eMxDIM//OEPRCKRbl+vvLyc3bt3s3PnTgCeeOKJtMvNnj2bHTt29Lj/J598Ms8++yxer5eOjg6eeeYZli5d2uN6XWlra2PixIkA/O53v+tyuW3btnVKATkSEiCLYefedffG0yR6O0FCgmkhhBB9pT8mn1dWVnLuuecyb948Pv/5z7Nw4ULy8/PTLjtr1ixOOeUUzjrrLB588EEcDgfXX389jz76KIsXL2bbtm2dRm1TORwOVq5cydlnn81JJ53ElClT0i5XXl5OW1sbbre72+3Nnz+fK6+8kkWLFnHCCSdw1VVXcfzxx2f25tP4xje+wbe//W2WLFnSbbD/6quvcvbZZx/266RSvRnKH+oWLlyoY4noA6WxsZGSkpIBfc3RLjGH+JbXbqHJ10S9rx6A6fnT8QQ9FDuLuWvZXUnrxYLpJn8TNsPGWNdYfGEft1beyur9q+PbjPnvt/4bp9MpucojlPztjlxybEeugTi2H330EbNnz+7VOn09t8Xj8ZCTk4PX6+Xkk09m5cqVzJ8/v0+2fSTuuececnNz+6UWcigUwmazHda6Bw8e5OKLL+af//xnt8ulO7ZKqXVa64Wpy8okPTGs9TRBIvGk1d1s40m5kwZ0v4UQQowcfT2Qcs0117B582b8fj9XXHHFkAiOAa677jqeeuqpwd6NTvbu3ctdd93V84K9IAGyGNJSP5XHUiTcQTf73Ptw2VwZT5DoLphODZCr6qp4s+5NvBEv+9z7uLD8QqnXLIQQYkA8/vjjg70LaTkcDi677LLB3o1OKiv7/vrcbwGyUuphYDlQr7Wem/D4jcANQBh4QWv9jS7WtwDvAfu11ul7HopRJV2+caO3EQwIRoLYDFu3EyTKcsto8jUlPdYR6sBlcSUF3RWlFTy/63n8EX9SXrM0NRFCCCFGh/4cQf4d8Cvg97EHlFKnAp8FjtNaB5RSY7pZ/2vAR0BeP+6jGMJSR4ubfc1pUyQUikZ/I+6gm2JncXy0N3X9WOCbGEzHAmx/+ONg+MGNDzLWNRabYUMp1SeF34UQQggxfPRbFQut9RtAc8rD1wF3aq0Dh5apT7euUqoMOBv4bX/tnxja0o0Wb2raRCiSXCA825aNN+Ll9Mmnc97R53HXsrviwXHq+s/vep7l05cnzTYuzS6lxFGC3WKPB8MhHaIl0NLpdY6k8LsQQgghho+BzkGeCSxVSv0E8AO3aq3T1dm6F/gGkNvTBpVS1wDXAJSVldHY2Nh3e5uBtra2AX290eLRjY9ixYoFC9FoFDt27IadPe17yLaZJWuCwSAd4Q5K7aX4fGZicez4p1s/RIi1NWs5sfREAK4uv5pr3ryG4qzieOmYYDCIw3DQEerAarN2ep2B/v0S/Uf+dkcuObYj10Ac20gk0mW3tq58aaXZ3vjJa57sj10aFXqq19xXr5HpdXygA2QrUAgsBiqBJ5VS03VCrTmlVCxveZ1SallPG9RarwRWglnmbTBK+0g5ob7XEGygxFlCS8gcybXb7UzNn8q2lm04cGAzbAQJEibMFfOu6JT6kG59m81Gg7+BX530q/hy0wqn0eRrwmKxxJcrzS6l1lNLhAhWw5r0OnKsRxY5niOXHNuRq7+PbUNDQ8blxjo6Orj/gft5+b6XCbYFmfPAHK658hquv+76HusPH6krr7yS5cuXc/755/fpdl977TVWrFjB888/3+m59evX8+tf/5rf/rb3N/hbW1t5/PHHuf766wGorq5m+fLlbNq0iffee4/f/e53/OpXv+phKz0744wzeOqppygsLOz0nMViyfj3Z6AbhdQAf9Gmd4EokLqnS4BzlVLVwCrgNKXUHwd2N8VgS9e+02bYmFsyN6OC7Jm2/0zXBcmqrFw37zocFkefFX4XQggxsnR0dHDWuWfxsz/9jNCSEMbFBq0LW/nZqp9x1rln0dHR0fNGhpmf/vSn3HjjjYe1bmtrK/fff3/a5xYuXMg999yT8bZibajTueyyy7p8nd4Y6AD5WeA0AKXUTMAOJI11a62/rbUu01pPBS4E/qW1vnSA91P0kcSud73RVfvO6yuu75Rv3Jv1U6tbdNUF6bJjLmPpuKU9vo4QQojR6f4H7mdz+2ZsJ9swigyUobCV2LCdYmNz22buf+Dwg7Qf/ehHlJeX88lPfpKLLrqIFStWpF3ulVdeYenSpcycOTM+4ltdXc3SpUuZP38+8+fP5+233wbMkeFly5Zx/vnnU15eziWXXELsBv7f//53ysvLOemkk/jLX/6S9rXcbjcffPAB8+bNA6C5uZnzzjuP4447jsWLF/PBBx8A8IMf/CBpf+fOnUt1dTXf+ta32LlzJxUVFdx2221J237ttdc477zzAPODx5e//GUqKys5/vjj+etf/wqYbaa/+MUvcs455/CpT32K2tpaTj75ZCoqKpg7dy5vvvkmAOeee26X7bJ7oz/LvD0BLANKlFI1wO3Aw8DDSqlNQBC4QmutlVITgN9qrT/TX/sjhrbUesexwPWHa37YqTpFJsFqd+unW/b0yacnvT6YOcpym1YIIUQ6K3+3ErVQoZRKelwphZqreOjRh7jt1tu6WLtr7733Hk8//TTr168nHA4zf/58FixYkHbZ6upqXn/9dXbu3Mmpp57Kjh07GDNmDC+//DIOh4Pt27dz0UUXEesyvH79ej788EMmTJjAkiVLWL16NQsXLuTqq6/mX//6F0cffTQXXHBBl/s1d268ai+33347xx9/PM8++yz/+te/uPzyy9mwYUOX7+vOO+9k06ZN8WWqq6vTLveTn/yE0047jYcffpjW1lYWLVrEGWecAcCaNWv44IMPKCoq4q677uLMM8/kO9/5DpFIBK/XC0BhYSGBQICmpiaKi4u7+1F3q98CZK31RV081Wk0WGt9AOgUHGutXwNe69MdEwMmtcxab5ttdBW49sf60k5aCCFEbzQcbMBZ5Ez7nLXQSsPBhsPa7ltvvcVnP/tZnE5z2+ecc06Xy37pS1/CMAxmzJjB9OnT2bJlC9OmTeOGG25gw4YNWCwWtm3bFl9+0aJFlJWZqYYVFRVUV1eTk5PDtGnTmDFjBgCXXnopK1eu7PRatbW1lJaWJu3n008/DcBpp51GU1NTn0yifOmll/jb3/4WH4X2+/3s3bsXgE9+8pMUFRUBZnOQL3/5y4RCIc477zwqKiri2xgzZgwHDhwYmgGyGFl622c+XZm1rpptdBdIH2ngKoGvEEKI/lA6tpTW5lZsJZ0n9IVbwpSOLU2zVs8S6hb0KN3o9T333MPYsWPZuHEj0WgUh8MRfz4rKyv+b4vFEs/lTd1OOk6nE7/f3+1+KqWwWq1Eo9H4Y4nrZEJrzdNPP82sWbOSHl+7dm3SxMeTTz6ZN954gxdeeIHLLruM2267jcsvvzz+mrEPGIdroHOQxRB0uHnC3Vm1ZVW8qUesvrDT6mTVllVJy3UVSFfVpav+J4QQQgwN11x5DXqT7hQoaq3RmzRXX3H1YW33pJNO4rnnnsPv9+PxeHjhhRe6XPapp54iGo2yc+dOdu3axaxZs2hra2P8+PEYhsEf/vCHHsunlZeXs3v3bnbu3AnQZf7u7Nmz2bFjR/z7k08+mcceewwwc4hLSkrIy8tj6tSpvP/++wC8//777N69G4Dc3FzcbneP7//MM8/kl7/8Zfznun79+rTL7dmzhzFjxnD11Vfzla98Jf6aWmvq6uqYOnVqj6/VHQmQRY9iI7zP7niWW167JaPgtcZdE69XHJOu2UamgbQQQggxlFx/3fXMyZ9D6PUQ0aYoOqIJNYYIvR5iTv4crr/u+sPabmVlJeeeey7z5s3j85//PAsXLiQ/Pz/tsrNmzeKUU07hrLPO4sEHH8ThcHD99dfz6KOPsnjxYrZt29ZjuTmHw8HKlSs5++yzOemkk5gyZUra5crLy2lra4sHuT/4wQ947733OO644/jWt77Fo48+CsAXvvAFmpubqaio4IEHHmDmzJkAFBcXs2TJEubOndtpkl6i733ve4RCIY477jjmzp3L9773vbTLvfbaa1RUVHD88cfz9NNP87WvfQ2AdevWsXjxYqzWI0uSUL0Zyh/qFi5cqGOJ6AOlsbFxWE/kqqqrik9kWzB2Qac84dgIb5O/CZthY6xrLL6wr8eyZ7e8dgtNvibqfWazxOn50/EEPRQ7i7lr2V3x5S547gJKnCXsbt8dX05rTaO/kT8t/1M/vevMDPdjK7onx3fk6unY9jZlTAwdA/F3+9FHHzF79uyMlo3VQb7jvjsItgeZOnkqV19x9RHXQfZ4POTk5OD1ejn55JNZuXIl8+fPP+zt9ZV77rmH3Nxcrrrqqj7fdigUyrj+dHe+9rWvce6553L66ad3ei7dsVVKrdNaL0xdVkaQR7FM0hsOd4Q30zJrPdUrvuSFS7jkhUsO+z32R/qIEEIIAZCdnc1tt96GZ5+HYFuQbf/exm233nbETUKuueYaKioqmD9/Pl/4wheGRHAMcN111yXlMQ9Fc+fOTRsc95YEyKNYJsFvpqkSqbqqL5w66pxpIC2EEMOVfFAXvfX444+zYcMGtmzZwre//e3B3p04h8PBZZddNti70a2rrz683O9UUsViFKtx11DiLAHfx4+lBr9luWU0+ZqS1kvXkS6dTMqsdVevuKquij3tewhGgtzy2i29LhNXVVfFn7f9mWAkeFhl5oQQQoxOWuuMKjuI4aO3KcUygjyKZdKO+UhHeG9ecHOPeX6xQHpizkQm5U6KB8d3rL4Dd8hNIBLg3bp3uWP1Hd1OEEwcpYmlj4SiISzKkpQ+cqSjOTIaJMTwkfr3ejiTjsXo4nA4aGpq6nVAJYYurTVNTU1JJe96IiPIo9iF5ReyomoFwUgQm2FLG/z2piPdkbh5wc1JF7H7199Pg78BDp2fojpKg7+B+9ffzyNnPdLj9lZtWUUoEiIYCRLVUfa491BoL2TVllVMyp2Udh2ZuCPEyNab+uxi9CorK6OmpoaGhsNr9CEOTyQSwWKx9Nv2HQ5HvElKJiRAHsUyDX6PtKNdJlKbhWxu2ozVYo3f4rIa5q/q1tatGa2/oX4D3rCXqDaLlQcjQWq9tQSjwS4DZCHEyJY47wIgx54Tf7y/AuQj7SgqBp7NZmPatGmDvRujzlCrLCQB8iiXafDbn6Oq6UZ1/BE/DlJuhWjgUEpY4mhvuvWb/c3YLLakADsYDtIebD+ii5Vc7IQYvjKZd9GXZMRaiOFLAmQx6CkF6UZ1XDYX3pAXFCgUkWiEkA5xTNExGa1vURaC4SBa6fj64WiYYDSI3WLvdLECOgW+06zJIwhysRNieEn9QOuyuXqcd9GXBmPEWgjRNyRAFoOee5tuVGd63nQ+avmIaDRKlChKKca4xnB9xfWdLnpbm7cyJW9K0vq59lzcQTcRHSGqo9gsNiLRCFaLtdPF6v719+MNezsFvlfPvJozSs6Ib1MudkIMH+k+0DZ6G8Gg23kXfWmgR6yFEH1HqliIQecNe9nakpxbbLPYmFcyjxx7Dg6Lg0XjFnH7J24HYEXVCuq99QTCgXg6RZ23Lmn9wqxCsixZ2C12XFYXU3KnENZhJudMTlou25bN1tataetBP1v9bNKyPdWEluoWQgwd6eq8l7hKKHWU9lifva9kUilICDE0yQiyGHRziuawtm4tQNKozq2Vt7J6/2rg49HtW167BafViUWZM11z7DmMc42jzlNHWIcxMPA4PdgsNq6ddy2/+eA3BCNBip3F5NvzOeg7GB8BBuIXr2xbdqdRnlp3bdJ+HklNaCHEwOpq9LbR39jvk45jMqkUBIN/F08I0ZmMII9y/VUTNNPR1Kq6KjY3b8YddNPka6It0Eaxs5ipeVPjwXGidKO443PGU+goxGbYiOhIfFTosmMu4/yZ53Px7Iu5a9ldLBi7wMxDTqnpPKtwVtpRnvGu8UmPSdc/IYaPoTB6m2lHUSHE0CMjyKPYYE46u3fdvdR6aqlur6bV3xrPFQ5EAlSUVtDkb0q7XlejuLOKZlHXYaZZ3LXsrk7rxQLxYCSIL+zDaliZUzwnHtymG+W5dOalSdvoqeufVLcQYujobvQ23Yfv/nK4ZTJlVFmIwSUjyKNYuhw9p9XJqi2rjnjbVXVVPY5Gb27eTCgSoiPcgdYau2HHbth5cOOD1HrM9IbUTnwXll9Io7eRjnAHHaEONjZspNHbSEVpBe3BdvZ79ieNhN+84GaWTFwS/yCQn5VPrj0Xm2GLB7FdjfJUFFd0GgmPXezOO/o87lp2Vzw4TvdBQzp0CTF4uhu9zaTD5+GSuQhCjAwygjyK9dcM66q6Kva07yEYCXLLa7d0Gk2Njbbuc+/DoizxnvdKKexWOx3BDl6reQ2n1Zl+NNYApRVRzCYgvoiPP237E/6wP+1IeGr1idj/Y9UnYhez1FGexsbGtO8v9cIq1S2EGJoGoslRJrp7bbn7JMTQJCPIo1h/5OjFRlND0RAWZek0mpo42mo37ISjYcI6HO94FwgHCEQDXY7GrtqyihJHCS6bixxbDvNK5xGMBmkLtHU5Ep6atzw9fzqzCmdR46lJysH+595/xkeue6On6hZCiNGht3M65O6TEEOXBMijWH9MOlu1ZRWhSIhgJIg37GWPew+hSCgerCaOtubYc+Kd7jSaqI7ij/ixKisWZekU7N677l7WHVxHti2bAkcBBY4CAMLRMKFIKGk/EgPUrj4IuCwubnv9Nuq99TitToodxVS3V8cvThuaNqS92KXeQh0Kk4GEEIPrcILdrtLc7t9wf79MnhZCZE4C5FGstzOsu8qtS3x8a9NWar218RHhYCRIrbeWrc1bkwJcAIfVwZTcKfHtGMpAaUVER4joCI2+Rlr8LUnBbq49t1MwajWs2Cy2pMcSA9R0HwSq26up8dRgNdIH41V1VTyw+YGMLnZS3UKIoas/840THc6cjnR3n0LREJsaN8moshCDTALkUSaTSWfplutO4oQ8X9QHmnhOsdWwgjbzhKFzgDspbxJ2w45CYTNsoMDAiLeH3tW2i1pPLS6Li3/u/SdNvia2t2ynI9gRD0bzbfnkZ+V3GaDGPgj4w36afE0UO4s5YdwJeMNe2gJtdIQ6aPQ10hpojQfjq7aswmF1ZHSxqxxXydS8qfjDfinlJMQokniezCTVKpO7T3vdezM+9wgh+o9M0hMZ6WoiSeqEPIVCH/ovFuTG/v3Pvf+k2d9Mk68Ji7KQY8/hgPsAQLyG8bjscRz0HiSiIxjKAA37PfsJ6iD+sJ/8rHycFid73HsI6zBziufw1eO/CpC2/Fo6zf5mdrTsoD3Yjjr0XyQaYWfrTibkTGBq3lRq3DXkWfJoCbXE14td7CblTuq0zfE545mSNyU+Q14IMbqU5ZaxsWEj3pA3nv7VU6pVulJ0/rCfmQUzaQl2PvcIIQaOBMiiU0CXGgxXlFbw/K7nO93yWz59OX/a8ifcITdoeLfuXYLhIEXOIgIdAaI6is1iIxqN0uJvAQfk2fNw2VxUt1UTiASwGTZybDm4bC6a/c1mSoU1G0/IQ0RHyLZm44v4KLAX0BxtBgUTcifQHmrHaXUm1TzuarZ6LDfQYXVgN+x82PQh/rAfhZn/HCWK1ho01Hnq+Naib7Fqyyrq3Mntq2N5y6kfFIB4VY497XtYMnGJjB4LMcKlO0+uO7iOiI5knGqVrrZ6Vx0/ZU6DEANLAuRRJJNyQukmmjyw8QHG54zvVMbsoX8/RCASAG2uG9VRwjpMs78Zu8WOgcGU3Cn8u/HfuKyu+Prjs8fTFmjDHXQzJW8KNe4aGr2NhKIhwtEwER3BH/QD0EILDruDN/e+aaZhWGzUtZttpS2Ghd+89xuWTlnK7JLZXb7vxNzAxmAjdsOODx8GBhZlIaRDhHUYq7ailIr/TO5cc2fSyE6jtxEMksrJ3bHmDoiCP+rHaXHisDoGrNmKEGJwpDtPPr/reY7OP5otLVviqVaJ59iuzr+ppei++fo3WVu3FqDb9tRCiP4lOcijRKYzrNNNNInoSKfuddm2bNoCbVgNa1K+scPqQGvNGNcYsqxZFDuLybJkxYPqZl8z62rXUeeuwxP0sHrfava07qHeU0+7v52IjqBQ8Ul+FsNCMBTEZrGh0QQjQZp8TbgDbho7Grn2hWs55v5jmHrfVLbWbuWonKPoCCbn9CXmBoajZmCtMOsoWwwLFmXBaljJy8qj2FkMmCM71825LmkCY2l2KSWOkqSfTVugjbbQxyXm7Ba75AsK0QeGcsONdOfJsA7z76Z/E4wEybXndgqOMzn/xjp+hqIh3EE3bYE2mdMgxCDptxFkpdTDwHKgXms9N+HxG4EbgDDwgtb6G2nWrQbcQAQIa60X9td+jhaZNrNI1zzEZXXREe7AZXPFH+sIdcRzhJNosFqs8RGRJROX8GbNm+z37CcajRKJRkART2mwW+zYDBsOm4PJeZMJRoM0+BoocZVw/JjjuWT2JSilWFG1gkZfI2hz3z1BD7PzZ9M6rpWXd73M3ra9PLjuQR5c9yB2i51lU5dx5bwr+eIxX0xqT201rESiESzKEm9vbWCQZWTR4m/Ba/HGm5tUFFckjexc8NwFlDhLaG1pNd9rPoQiIZRSBMJm7WZ/hx9vyEujv1FaxQoxQqWeJ1sDrex37ycYCTIuexzFjuJumxWlnn9vXnBzUhCdZ8+L31GTxiFCDI7+TLH4HfAr4PexB5RSpwKfBY7TWgeUUmO6Wf9UrXX6Vmai1zLtmpcYTMYUZhUSjAQJRoJ0BDvYEtlCsaOY6fnT2efZlzQhL6RDHFN0DF+b/zUe2vAQ1750rdnEw2rHUAaGxSzlZrPayM/KJ9uaTSBq5iIXOArwhX0cW3Is43PGJwWWiXl6RxcenXTRiOoo79e+z4vbX+TF7S/y7v53eWnnS7y08yW+/c9vc8GxF+AJeQhGguRYc/CEPQDk2nIJRAJmoxKiuKwucuw58dGdq2denbQP6X42NouNcDRMS6CFKFHsyk4gHDDL23lqGZ8zvg+OnhBiKEk9F+z37I+ngMVGlOHjAHjdwXU4rc543XfofP7truPn6v2rAfmwLcRA6rcAWWv9hlJqasrD1wF3aq0Dh5ap76/XF8nSBXfpJn6km1Vts9i4dt61PLntSdoD5uS4WytvBeCONXdQ015DlChKKca4xrCodBEn/+5kqn3VWA0rWmscVoeZioHCMAyOKTkGq7Ky37Mff9hP2Ah3W32iu5axhjJYOGEhCycs5PunfJ+Gjgb+vPnP3PPOPWxv3s7/vPU/jM0dS1lJGS6bi2OKj2Ff+z7COkyRswh/2M/EnInU+8xfx9jF7dnqZ9nk2RR/zQvLL+SONXfgDXmJEmVjw0ayLFkEwoH4iHhUR8GAca5xbG7eLAGyEMNEb+74pJ4nO0IdZmUea058mdT67b6wr9uJd6mDGNPzp6O17rJyjhCifw30JL2ZwFKl1E8AP3Cr1jpd9XMNvKSU0sBvtNYru9qgUuoa4BqAsrIyGhsHdtC5ra1tQF/vcJ01/iwe2PwA/pDZqa7F24I/7OfS6Zcm/cymWadx9cyrufvfd+MJesjJyeHSmZdSUVzBuv3raPI10eZv49GNj3Le1PO4ec7NfH/d981OdhH4sOZDXvjgBVxZLqaMmYLFYiHLyDInwSmr2YIaCy7lQmtNIBxgomsiFcUVXF1+NUB8fx7a8hBA/PFLp1ya9Hy6ZQAUii9O+yKfn/J5/lH9D361/ldU1VVx0H0Qi7JQcXwFS8cuxW6xc3X51Vzz5jXYtI1IJAJAMBjEpm3UuGuYmD0x/pptbW1EQh+XrdNRjc2wkW3Jxq3d8XSNya7JaDTV7mr+su0v7GjcwXlTz6OiuKI/Dq04TMPlb3c02tC0gZd2v4Qn5Dmsv5/DObY+nxmZZnINST1PZluyybPl4Y/6iUQiBINBOsIdlNpLeWXrK3gDXpqCTfEgOt35t9ReSouvJek81BHuwIYt7c8i3blvNJC/25FrqB3bgQ6QrUAhsBioBJ5USk3XWqdmsi7RWh84lILxslJqi9b6jXQbPBQ8rwRYuHChLikp6cfdT28wXrO3zig5g/z8/HiawrjccV2O1p5RckbSyOm96+7l5bqXqQ3U4rK5zJHlqIeHtj3ErZW3km1k8/7+92n2NgMwPn88M8bNoCPUEa+JHNVRrFYrGo3FsGC32zngPkAgGmC3ezfeqJczjj4jaX+cTifQ/c+3p2UuH3M5ly+6nLf3vc3P3/45f93yV375/i85qvAofrP8N5SUlDCtcJpZm9liAaDGV0MwEqQ8rzxp+/e9eR8hFYpP+KsYW4En6GGfZx8F1oJ4/VOrzcqO1h0YhkG2PTvpZyW5hEPLcPjbHW2q6qp4aNtDBHXwiP5+enNsq+qqeLvhbdxBN283vM2cojn87JSfdbtO4nlyycQl3Pb6bfjCPoocRQQJEibMCWUn8NC2h1AWRVFWEe2hdtpCbUy3TufmypuT3s8V865gRdUKIkSwGTaCBGkLt0GUtD+LTM6PI9VofM+jxVA6tgMdINcAfzkUEL+rlIoCJUBD4kJa6wOH/l+vlHoGWASkDZBF5rpLU0iVOrt6c/Nmih3FSZNMwjrMba/exuvbXseV5WLa2GkUugrJd+RTYC/AYlhoDbSaaRUY+EN+lFLkWfM44D7APs8+XFYXLpur06SW1JJIVmXtlJecSdm6mBMnncgzFzzDOzXvcPVzV7OpfhNn/OEMrqy4kkvnXcrKf6+M3y6NTY6ZWziXF/a+gDvoZmP9RmrcNSil0NocOQbzNqrT4owHzVpr9rr3otHk2/PT5iMKIbqW6YTivhKbHFfvrcfAwGpYWVu3lqq6qi5fL7W6RuW4Sk4YdwKrD6xOKvGW9F4s4LA5CEbMWvGr969m9f7V8XNauprIscZLqelfq7askrQLIfrZQJd5exY4DUApNROwA0n3s5RS2Uqp3Ni/gU8BmwZ2N0eumxfcnFGOXaw+ZywIjTXB8If9oOGA+wBV+6vY595HjiOHWeNnMa1oGmOyx+AJeaj11gJQkGUGyoZhmGXfHMVoNG2hNibnTSbbnt2pnWq6kkhr69ZS66mN719PZZO6KhG1uGwx665Zx49P/TFZlix+t+F3XPTURcwvno/T6ozXZ/aFfTy6/VFa/WaAv7l5M2EdRmuNoQzCOkyLv4WOUAezimaZIzqHSsJFdIQZBTPIsmbFX1c6YQmRmUxaNvelWBAbq2zTHmynLdDGt978VqeBglSJ59NYN83zjj6Pu5bdReW4yrTvxWbYunwvsUGM2Da8YW/an8XWlq38c+8/eXbHs9zy2i097qcQovf6s8zbE8AyoEQpVQPcDjwMPKyU2gQEgSu01lopNQH4rdb6M8BY4JlDs32twONa67/3136OJImTTNJNOMl0EkosKG7yNfHU1qewGlZshg1/2I8/4icUDuEOuDGUQUFWAdOnT0ej4yM+2bZs/CE/npCHEmcJDqs5ajKvdF581GPNgTWUOEvY3b47/rqxi2DqCFIoGsIT9PDK3lfiJdiOZJTJbrHznZO/w/lzzuea56/hjT1v8K2Xv8W8ifPIz83HZbhoC7SBgo5wBwqFw+rAqqzxFtgKxV73XiZkT4iPXMdG5/e592U0IVII0VmmE4r7SmxyXDgaJhAJYDWsWJQFd9DNiqoVTM2bmnT3qqquij9v+zPBSLBTN82DHQdpD7bHu2mmvpfp+dPxBD0oVJd3v3qqnFPnraPZ14zL5koaHJAULiH6Vr+NIGutL9Jaj9da27TWZVrr/9VaB7XWl2qt52qt52ut/3Vo2QOHgmO01ru01vMOfR2jtf5Jf+2jMCWOtiaOzIajYaI6ijvkxmFxEIwGCYQDhHQIq2GlJLuEry/6Os3+Zpp8TTT6Gs1JdzkT0WhCkZDZNMQ5hmKHecsxNuJSlltGRyi5oUfsIpg46uIP+9nVtiuexxy7GGxt3trlKFMswO9pdGVWySxeveJVVi5faZZ3CzbR0tFilqzTEeyGHYUyJxYeaiZiKAOLYSGqo0R0JOmiFHtvF5ZfiC/sIxgJZtxyVojRpqu7PAP593Pvunvxhr10hDoIRUOAWRVHHyrw3uRvYnPz5vjysfNj7JwQ66Z5x+o74qkVsXSxqrqqtO+l0dtIg7+hx6YhXf0s6jx1jHONS2pSIs2JhOh70klvlMg0aEwcmQ3rsFnXE0VroJUWbwtRHcVusTOjeAbzSufx/K7nzRxjZRCJRmgJtAAwMXcidos9ftFIHd3o7iKYGDx7Qh6zIQlmzeHYxcAX8aUNsF1WV0Ydq2IMZXD1gqtZ85U15Gbl0hZoY1fzLiLRCN6wF4VZtzTWVMRusVPiLKHYWcwnxn+iy5J0iSkX0glLiMwN9N/PnKI5NPob4/XQg5EgUR0l15aLzbDhDrrjy67asopQJEQwEsQb9rLHvYdGb2NSN83EgDXde0nXkbOrADfd+oVZhZ3KR0oKlxB9b6An6Yl+kjhhbWPDxnid333ufVSUVvD8ruc7BY2xWsaJt/q2Nm1lSv4U8Jld50KREP6wH601WmuyrFmUOkuxWWysb1iPy+bCYXV8HExq2NO+hwnZE1hWtqzTxLqYdBNSEm8zxmqMhqNhbMpsM51rywU+nhgXC7Bj9Zp9YR8uq+uwUi/mjpnLaVNOY/X+1TR7m/H4PeQ4cjCUgU3Z4qPp+db8+H51N6LVmwmRQohkA/H3EztnNvubCUfCSc9FdIS2QJs57wDNk1ufZJ97HxvqN+ANe8165xAPlLN0Frn23Pj6iQFr6nuJdeTsqWlTTOr6t7x2S7cpKNLBU4i+IQHyCJCYFmFg8GHTh4QiIQqyCmjyNfHAxgcYnzO+U9B4//r78Ya9SYFzS6AFu8dOq7+VYDhIKBoiqqMoFJPyJ+EJefBFfKDMphhRHY0HpsGoGTimph50pauLYGLwHGssUmgtjE96i02Mu7D8wk4B9oqqFb26+CS6Yu4V1Pvq2cIWM5UkGsJiWHBanMwpmkONp4ZQNMTxpcdn1P5VLlBCDE3ffP2brK1bi9Wwxj/wxigUUaIEogEALFjwR/zsbt1Ns7853i0PiKddRXQkafupOdM95RX3lGOduH66Zk6SwiVE35MAeQRITItoDDZiN+xEohE6wh3k2HOI6AhNviZcNld8nWxbNusb1jOzYGZS4DwuZxy1nlrcfjftgXasFitOm5O8rDzyHflkWbPiXedi6RcKRTAapMRZEp+Ml+nt0K6CyMpxlTz3uefiwX+Tv6lTKkZsmURHMsGnclwl50w/h52tO4laooQjYQKhANjgmuOuYW3d2m73WQiRmd6UaOwPm5s3YzWs2C12IjqC1bASjUSxGlbCOsyhFOT4xNxINEJLsAWLshAMB9HKbBYUiZo1i6M62mXAmjqiezgBbuI2err7JoToGxIgjwCJLUrD0TBOqxOFio+KuKwuOsIdSQFyLH8325adNNo6xjmGnS07zcL0jmxyrDnMLZlLqauUzc2bafA1xCeo5Npy8Ya9aK0JR8OMcY7p85GM3l4MjnR0ZUPDBlxWF6FoCJvVHCnyhrz817/+izcufiOpVawQove6KtGYetepP1MrDngOENVRbBYb0WiUMGYqRSga+jitSofjdc8BWvwtZFvNicGxOQk2i42x2WPJs+fR6GvM6BzVFwFu5bhK8ux55NnzuGvZXUnvLbXCRnfblXQMIbomAfIIkDhqajWsRKJmO2SrYR7ewqxCgpFgp6BxVuGspIlu4WiYNQfWmLccw2GyHdnMKZlDvb+eem89/qgfu2EnEA4QiAYozCrkqIKj2NK8Ba11v41k9CYf8UgvPlubtpoXxkP/5Wfl41ZumvxNLHxoIZcvuDyeuy2E6L2BbgSSKBacxyYWB8NBIiSnR2jMWucWLJ1SLwKRQLySjYHBlNwp+MI+rq+4ntX7VwNk1Myou3NapkFr6s8qXYUNKf8mxOGTAHkESBw1zbHm4Al7iOooedY8PEEPNouNa+ddy5PbnkwKGuHjyXAKxdv73iZECB3VFLmK4lUjdrbtBCDXnkuOPQdf2IfWmvZgO5PUJHJsOZww7oQeW7Meid6McBzJBB9f1AeaeI5hljWLqI6itaYl1MKjmx6lxlPDJbMvkYuOEIch8Y5XzEBVYYgF53lZebQGWoliTraLdawzlIHD4jDLSkai8XJvYM65sCgLk/ImEYwEO30A7ypg7WmkvCfpgmyg02OJFTaiOsoe9x4K7YVdfvAY7DQXIYY6CZBHgNRR02OKj2Fz42Y6Qh0UO4uxKitN/qa0QeOtlbfy3be+y57WPXQEO8hz5LFo4iIO+g7GlwlFQvGA0WF1MD57PNtbthOMBil2FvPV47865E6sh3vL0Glx0kEHGo3SKj4an2XNImAJ0O5vZ/W+1ez37Ocbld8Ycu9biKFuoBuBJIoF5w6rgwIKaPR93MjVZXVR7CxmWt409rTvYb9nf6f1lTJHkc+YfAbQ/Xmmp5HydOumBq3pKhDdsfoOMMwa8YmBd6O3EW8kucJGrbeWYDSY9nX6IngXYiSTOsgjRGKL0kc+/QhHFx7NjMIZ3LXsrnjNzHRtpp2Gk7U71rJ1/1ZKLCWcMvmUpFETMOsPx9I1AAodheRl5TEpd1K8pepwltiwYFbRLCbmTsTAbBZgs9iwKis59hwmF0zGoizUd9RT3VLNYx89Nrg7LsQwNJiNdBJrrDusjniHTIfVgUVZgI+r5NgtdqzKGq+FHvveF/alPZem6m3L7HRB64MbHyQUCdHib6HeW0+OPYe2UBttgc51l9uCbfG7X0op85ytwRfxdWrKkhi8S7MRIdKTAHkEiZ20q+qqaA+2s9+zn//4v//ghV0vpG0QsrZmLUsfWUpboI1TppzCa1e8xn/M/Y9OF6/8rHzybflJj4WjYeYUzRnEd9s/Liy/EKsyZ7c7LU6m5E4hrMNMzpmM0+ZkSuEUbIaN+o56Vtesjo/WCCEyM5CNQFIDw9TgvCy7DKthxWlxkp+VnzTR2KIs5iS9QwMGUR0FZd5lykR33ULT7Vu6oDWkQ/HmSzHhaJhQJJT0WLYtG53wHxC/++W0Oqmqq0o69/c2eBdiNJIAeYRJHIVQKDY3b6bR14iBkdRVbkPdBj792Kdp9bdyXvl5/P3Sv5PvyE978br9E7dz+5Lbkx77+Sk/79ec44GS2mEQzLSTMa4x2C12ip3FzC2ei81iA8Bpc7K4bDE2i406dx23v3p7n+xHV213hRiJEu94DeRdqNTz27SCadx0/E3kZeV1CtY/MeETTM2dGl83FA2htabUWZrRa/V2pDwWtLb6W2n1twJm2kd7sJ1QNEQwGuTDpg/RWsfPRzEdoQ4KHAUf3/06tMzE3ImUOkvZ076H7S3b44MkPQXvQgjJQR5xUmsi2wyzC5wn7InnwK3cuJK/fvBXWv2tfK78czz5xSeTUii6muQ20jrDdZeHd/rk0/H5fHz7pG/Hl4tVAbEaVo4uOprVO1fz4zd/zNFFR3NFxRV9vn9SgkmMRv39e5/u/Nbkb+r0mheWX8gdq++IT+CLVbHY0ryFS5+9lHA4TKO3EU/QE68TX5BVYP7fUUCJq4SzppzFU9ufoiPckTShL90EudTc7F1tu+INi2Kjwi3+FhSKbFt2p6pEV865kud3PY/dYo9X2Gj0N9LQ0dCpssXy6ct5ftfz0mxEiG5IgDzCpNZEdlgcGMqIlytSKN6qeYsGbwNnHnUmT3zhiaTgOCbdxWmkBWrdTaK5a9ldNDaaE3jSlY776vFfpWpKFV998atc/dzVTCmYwrKpyw5rP2Q2uRB9r7u/q+7OZZ6gh3f3v8vb+96m1lNrTlJGEdIhguEgrbqVmrYaahoyS0dQKMbkjGGibSJv7HqDjbUbeanmpU4fzGNBa0RHMDAIRoL4I34symI2L8HML7ZgocBRkLaSRnlxOf/16n8RjJgTqBWKtkBbp8oWGxo2SLMRIXogAfII06km8qGC9lbDij/sZ+3+tXiCHpZOXspfLvhLvH3zaNSbclPpRp0qx1WyvWk79669l8//6fNcu/haxuSM6dUHia5GsZdPXy5BsxjRMqnicLi/9xuaNvDjDT/GF/ZR5CjqsUrDl+d+mac3P81pj57G63tej88tmD5+OuFIGIuykG3PZkzuGLNzHlF+tvRnlLhKyLHn4A64afW30hZoM//vb2O/ez8b6jbwYcOHHPQc5PF/P87j/36cstIyHFYHLpuLvKw8puZNNfe5YQPLpy/n7nV3E9bheEWK2ORBhSLPnkc4Eqa2o5ZpedPIs5uTpVfvXx0vNXf+zPPjP9/lTy+nKdCUtrLFkZTDFGI0kAB5hEmsiZxtzcYbNk+yOZYc3ql5h2A0SKm9lOcvfj6ps95o1NtyU+kuIis+tYJXql9h08FNPPTuQ3ztpK/1ah/SjWK7Q24e2PgALptLSjCJUaMvS489W/0sVsMan2iXrhlJKBLiHzv/wR8++AN/2/o3/GE/ABZlYeGEhZxYdiIHggewGlazQoSC6fnT8QQ9FDuLufjYizPaF3/Yz4f1H7K+bj3v177PGwffwB1wE4wEafW3sr99P6WuUrLsWext34uhDAxtYGAQJRoPbmPVNGL/qxxXSa2nNm2N5JjUuu5Ww0owHIxXtqiqq+r0s5XULiFMEiCPMKnpAHOK5rDXvZcD7gN4Ah4KLAW8fPHL5GXlDfauDrojbUsNYDEsXHr8pTzw7gNELBEe3/w4jf7GjBuJpBvFbvI1EdGRQek0JsRg6csOezvbd8ZTC8I6TJGjiHx7PjWeGpq8Tdy95m5Wvr+SRu/HdZBPmXIKlx13GV+Y8wUKHAXAx0F7MHr454gHNz4IfBxw3vLaLexz76O6tZp2fzu+sI96bz32kJ2D7oM47A4shsVMrYiEP66iQZRwNEw4GqYsu4zndz5Po78Rq2Elz5aX9gNFUl13VFJlC6DLesxCCAmQR6TEW2dfrfgqxzxwDNubtlPiKuGla1+i2FU8yHs4NBxpW2owL6Cv7H2FgvwCguEg/pCZxlLrqc1o5CvdKLY37CXb+nEJpl1tu9Ba44v4UlcXYsToqw57VXVVtAZbCUfDKGUGhTtbdzLWNRZv0Mu0+6bhDroBmF0ym8uOu4xLjruEyfmTO22rL84RqWIfzPMceRS7iimwF1DbUUuTr4n2YDuGxYCIOdprNazx/GMAQxnkWHMI6ACtgVYsyoLWmtZgKxP0hHgt49j+zSqaRVZ7FrtadxHVUWwWG2Ozx5Jnz0saebYqK+NzxkuwLEQCCZBHqJsX3IzWmv98/j/Z3rQdh9XBdYuvY3zu+MHetSHlSPLwYqNLLYEWDAwzn1vBwY6D5GflZzTylW4U26ZsFGYV4o/648uFoiEpwSRGtL7qsLdqyyrGOMawz7uPaNSsXewP+dnWso09B/fgDXr51FGf4vsnf58TJ50YTz/oypGeI9LlVCfd5Suew9crv84THz3BrtZdbGvZRpQooWiIcDQcL+mmUCwat4hmfzNaaw54DhCJRsyJe8rCfs9+5hTNSfpAETu/pKts4Y9+3Imvur2aE8adIBOGhUggdZBHsLvX3M1D7z9EgauAE48+kTcOvNGpWYhI32EwE7FbwlEdxWJYsBpWbIYNm9XG1qatbGvZ1mN943R1p6+ddy02iy1ePzUYCRKOhqUEkxjR+qrDXo27hjHOMeTb84nqKL6wD2/YSygc4sSJJ/LWf7zFPy79B0smL+kxOI45nHNEVznVsbzf1DrQF82+iHA0jMViwWaxYTNsKKXoCHTgDXhxe9x8dd5X8Ya8ZNuyk6oPGcrAH/bTEerAG/LGzzmx88sY1xiyrFkUO4spdZRS4ipJakhiNaysO7iuy/2VOu1iNJIAeQRIPHnF/v23rX/jtpdvw5XlYuHUhShDdTrpiSMTK+xvNazxiTQ2wxbP79vRuANfqOe0iNSL5WXHXJYUNDutTk4Yd4KM5IgRLdMOez0Fa2W5ZRz0HuRA+wHafe10+DtwWV18YsInOHvO2VQ1DMy577DaORtgwaxaYSgDm2GjLLeMhtYGdjfupvxX5TR2NNIaaCXHZuZoa62JRCNYDbMNdmqH09TzizfsTeqi1xowq28c9B3kQMcBtNbSfloIJMViRNrftp/v/uO7aDQnH3UyY3PGUu+rB2TCV1+K3RLOteXSEmiJB8m5WblEohEOtBzg8c2PU5xdnHS7MpNZ4rGLWq2nls3Nm1lbt5ZbXrtFbnmKYSnTyghHWnqs2ddMTVMNm5s3x4PGY0qPwWlzcuOCG1m9f3Wvt3m4esqpTn1/q7asosRRQrOvGSBe63he6Tz++Jk/8r1Xv8fvN/6ed6rfoay4DJfdFW8tHdVRxrjGsHz6cp7c9iRr69YmnXMSXysxlSUQDrCzdaeZr40iGo3SGGjEYXUwPX862bZstraYd8Mk7UKMNjKCPMK0+dt4qOohOkIdXHbcZeQ6cpNGC+DwJr6IzmK3hJVSFNgLzAlBOsLR+UfzlblfoSS3BE/Qgzfg7XHkPt0t3FpPLWvr1qa95SnESHTvunv5286/dfk7ntoaPrac1po/fvBHyn9VzpObnqShtYFsezZF2UXMKJrBrZW3AqRdt7/0tp1z7I5UgaOAAkcB0/OnM6twFjWeGiblT+J35/2OW5beQlluGY3uRvwRfzywLcoqIhAK8Kdtf+rxfJGYytLka8If9qOUwmbYzBJyyqyXDFDnraPZ1yznIDEqSYA8zCVeMC5/8XKe+OgJiguLOX7K8Vy76Fom5U7q1UlaZC7xlnCUKOOzx3PmlDN55KxH2NexjxnFM4jqKPUd9QQjwV7frgzrMFPzpvbuFq0QQ0xXQW1XqRLjs8enHaHsKqf3n9X/5JwnzuGyZy6jwdvAyVNO5v/O+z/mjZ3HzMKZ3LXsLoAu82v7S29zqjMJqCfmT+S6xdfx6ZmfJhKJ0OHvoN3bjgULbcE22gJtPZ4vUs9bNsNmtsjOyo933AvrMBsbNrKvfR/jXOPkHCRGJQmQh7HEC4bSig0NGzAMA6uyMrt0Nve9fx8VpRV9MvFFpJeY3/fc557jZ6f8DDBHg6bkTaHEVYJGs652HVbDytaWrRmPYsVGlBLJ6L8YTrqbqJZOraeWPe170v59/HDND2nyNyUFa8FIkOtfup4Xtr9AoaOQh899mNeueA2v9tIebGe/Zz+3vHYL92+4v/f5wEco05zqmJ4C6sQPGrvbdzM+dzy5WbkA7GzZSYu/JT7nodXfyq62XT12Bs2z55GXlYfD6ki7T2Edjs+piJFzkBgtJEAexhIngbQEWuK3xXIduRQ6CnFanWxo2NCrk7TovXTpEbHRoDE5Y3DZXPjDftbVrevV7cre3qIVYqjpzUS1P3z4B17Z+wrtwXY6Qh1Ut1cn/X24g24zDQBAm0HhhroNhAmzuGwxNy65kbZoG+8dfI8HNj+Q9He2qXEToWgo6fX6I9BLHRVPV62iK90F1KkfNCyGBX/Ez5icMUwrmkauPZdwNIwn6KG2vTbeXKS780Wtp5ZwNEyjr5H6jnraAm1YlRUDA5fVxbzSeWTbstnr2Zu0npyDxGghk/SGsdgkEF+7j2DUDI7tVjtRzMlisQvAkU58Eb0Xqz8aioaYmDeRvW178Uf85NhzMu4U1hed/oQYTF1NVEud+FVRWsEDGx8gqqMYyiCqoxzwHGBCzoR4MO0L+8wgzrDiD/ppD7RjKIOpeVP5vy/+H/dvuB8w/54cVgc+bb5ojj0Hh9XBXvdecu258f0YqECvN+fcrs7VqV0Gp+RNYVvLNtoD7ZS6SlkwYQFbm7bS7G+m1d+KJWDBbtjx2dKfL6rqqqhurybHnoMr6qI91E4wEsRhcVDiLCHLmsWutl3YlA13yE2WJUvOQWLU6bcRZKXUw0qpeqXUppTHb1RKbVVKfaiU+p8u1i1QSv1ZKbVFKfWRUuoT/bWfQ0Vv60zeu+5evGEvbYE2atpqiEQjOC1OLMoSr4+ZWBPzcGv9isOTOBoU1mHmj51POBKmpq0Gf+jjBiDdjWL19hatEENNursg6SZ+PbDxAYLRIBb1cYkzi7Kwt30v79S+w4qqFTgsDrTWdIQ6CBPGbrEzs3gmdy67Mx44ghmUuyyupNecnDMZf9jfr6lmXeVa94XUdKuCrAJmFMxAo/GFfZQ4S/jlGb/kRyf+CLvFjs1mo8HbQLu/Pe32EgNuh81h1kk2sjCMQw2PDjEMg7klc+UcJEal/hxB/h3wK+D3sQeUUqcCnwWO01oHlFJjulj3PuDvWuvzlVJ2wNXFcqOa0ooN9RsIR8M4DAc2q41QJES+NT9+AUitiSkGTupo0LLHl7GnfQ/72/czvWg60PMoloz+i+Es3V2QOk8d41zj4p0ic+w5RHQErXXSuhbDQjgUxlCGOaEsGsUT8GC1WLEYFvKd+VSMqYiXbot1gLMYFvwWf9K2bBYbc4vn0uhv7LOW0Ym6yrU+nGAy3d95ui6DNsPGhJwJnD759KR1xuWOo76jno5gB1uCW7jhlRtYccoKlk5aGl8m3ch+rj0XT8gTHy2OdfK7vuL6+M9YzkFiNOm3EWSt9RtAc8rD1wF3aq0Dh5apT11PKZUHnAz876Flglrr1v7az+EoNlKxu203HYEODGVQkl3CMUXHUOIsIUo0/kl/fI60lh5MiSP3P1r6I1x2F8FIkDpPndyuFCNeursghVmFnc5LWmvC0bBZ1VebX76Qj4iO4Av72Ny4mQPuA4QiIeyGHZthI6zDbG7ezKaGTUnBab4tn/0d++kIdiSNFl9//PUZ5wP31mE1BemFribwff8T3++UijEtfxrTCqcxMW8iCkW9p57rXrqOzQ2b48uljuxPz5/OlLwpzC3+eLRYGhSJ0W6gc5BnAkuVUj8B/MCtWuvU+1DTgQbgEaXUPGAd8DWtdQdpKKWuAa4BKCsro7Gxsd92Pp22trYj3saGpg28tPslPCEPOxp3cN7U86goruhy2Qc2P0CTtwm3341SimJXMQuKF/Dd+d/loS0PAXB1+dW92q7orC+OLZB0TG6acxM/ef8ntAfMDl//Oec/mWad1u3vrc9nDvMM9O/2SNdXx1d0b5p1GieWngiYfwM/WPcDWnwtRCIRAILBIHbDTjgaxmVx4Yl64hPqnBYzWHOH3GTZssi15OKwOghEAigUBzwHqG6vJtuSTZYlC4vVQomrhGAwSH2wHq01OTk5XDrzUqZZp/GK7xWg7/+WdrfspjirOOk92bSN6pbqPnmtadZpXD3zau7+9914gp6k95S4/cT9yLXnMmX8FDY2bMQX8VHxYAXnzzmfX5zyC84afxYPbH4Af8iPVVlp8bbgD/u5bs51VDVUcdB7kG3t21hzYA03/OOG+LVjKJyDMvm7TTzniuFjqJ2TBzpAtgKFwGKgEnhSKTVdJ99bswLzgRu11muVUvcB3wK+l26DWuuVwEqAhQsX6pKSkv7c/7SO5DWr6qp4aNtDBHWQbHs2nqiHh7Y9lHRrLrEL1f9t+j+ybFnUe+rRaIqdxShD8V7Te5SUlLCpzUz53h3e3eN2Rc/64vfJ6XTGt/WfJf/JA5seYOP+jTQ0N3D/p+6nJLv71/j2Sd8+4n0Q6Q3G+WI0SvwbuGLeFayoWkGECDbDRmOgEV/Eh81iI6RD5jwKi5UJORPY2bwTT9CDw+4wW7oTRaHiI82xnOVANEBQB7FYLNjtdsbnjMfj9nDe0ecljbD219/StMJpNPmasFjM/bHb7XiCHqYWTu2z37EzSs5gk8c8v3eV6pC6H8U5xSywLWB3y252RXfxxKYnmFM6h+8s/Q75+fn8cM0PcQfdjMsdF085ebnuZTa0bMBqWIfstaOnn2ni75sYXobSMRvoMm81wF+06V0gCqT+NGqAGq312kPf/xkzYB6Rentrbp97H9uathElSnZWNtow24zGyvpUjqukclxlv9/yE5lJN3Hn8orLGZMzBnfAzVf+9pVOuZdCjDSJqUaJaRdtgTYOeg+SY8uhyFFErj0XwzAwMKhuqabN34bWmul5081JemgcVgcWZcFiWDCUuWwscPaEPAB4I14WjF0wYDmzvW0Kcrh6mmydbj+CkSD3nHYP584+F4Xie69+j0ufuZRjS45Nm3IiDYqEMA10gPwscBqAUmomYAeS7tloreuAfUqpWYceOh3YzAiVaTOIqroq7l13L4FQgJZACw67A5vFhkIRiARoD7bzhWe/wAu7XuDZHc+ypnbNgNT9FF1LN3HnjjV38Mz2ZxhbMpbZk2bz77Z/8/3Xvz/YuyrEgIpNPi12FjOjcAbZ9myUUpQXlTOjYAaeoIdWfys2w8a0wmlMLZhKXlYeLquLKXlT0GgUCjAn8ylUPI/ZE/TgD/sHNLd/qFSc6Wo/UBC1Rak8qpKpY6by7LZnOfXRU7lo1kWdAu51B9dx0Hsw6bHhdO3oz2oiYnTpzzJvTwBrgFlKqRql1FeAh4Hph0q/rQKu0FprpdQEpdSLCavfCDymlPoAqAB+2l/7Odh6agYR+2Pf3rKdF3e9yNq9a7FbzUkqGh2vf6xQ7GzfSaOvEQOzRNL21u0EwoG02xX9L3UUP6zD1HnqaAu2oVDYLDacdidP7niSv27762DvrhD9Jl0Zy5sX3IzL6koaIAiEA3xw8AMC4QDZ9mzKCsrIsmbhCXoodhRzQ8UN+MI+DAw05t0zgKl5UzEMA4Wi2FnMdXOuG5TgtL8mAR7JfsDHbbaLnEUsnLiQyaWT+aDhAxb9dhEfHPwgaf1ce26nwZXhcu3obedGIbrTbznIWuuLunjq0jTLHgA+k/D9BmBh/+zZ0NJdM4iquipue/023EE3ER1hv2c/hXmF2Cw2sixZ+CI+FAqrssbLJFkMC56whxkFM9jRuoO2YBulllKpmDAIUksp7ffsJ6zNmfqGMuJdwaI6r7uZTAAAahlJREFUyh1v38HO9p0YypBSSmLUSCxfFo6EebvmbbwhLzm2HO4+9W5+seEXncqylReX8+03vk2jvxGrYSXflk9BVgGtgVZOGHcCPzvlZ4M2mWyo/O1212RkbPZYbIaNLCOLjXs3suThJfz5i3/mzKPPpKquCn/YT6OvEauymqXfhtG1I/W9JjZjklJ1orek1fQg6+7W3Kotq4hEI4SjYSLRCBEdMXPulEGWxSzmbigDi2EhSjT+XDgaptBRyNH5R5vlkqTA+6BIvTvgD/vRWmMk/NnlZeVhMSy0Bdt4Y/cbGW+7t41lhBiKYjmz3pCX6pZqMzjOyuGe0+7hk9M+mXZEtnJcJcuPWs6ZU85kfPb4eFnLn5/yc352ys8G+R0NPenS+AodhcwonsGFcy/EE/RwzhPn8D9v/w8rqlbQHmzHbthBQUugBYUaNteOTFMWhciEtJoeArpqBlHjriEQCaAxc+sUirysPELREN6wFzBHH6PanKBit5ilkmKd9GyW9IXkxcBIvTtgNawopSBhTp7Wmhx7Du2+dl7Y8gKzS2cP3g4L0Q9iaWKxttKJDToqx1VyxZwruOmVm9BKk2vP5Z5T7+H0qd03x4k9nljhR6SXrslIR6iDyXmT+fkpP2dc9jjuXXsvv9rwK2aXzDYrgygocBQQjAQpchalDY6H4s++q/c6HNJDxNAjI8hDmMvqwh/xE9XR+EhxMBIkx5ZDoaMQi7LEg2eHxQGYAXOONafLQvJi4KTeHTi64GiKs4pRypxQFIlGCEaDlLpKObboWMYVj+PZnc/yX6/+l+TMiREhXU7oba/fxjdf/yYAe9v2cuMLN7KzbidBb5DXLnotHhxnoqeqDqL7ChuGMrj7zLv5yWk/wWa1saVpC+6AO76uzbBR46kZNnesunqvFaUVMnFP9JoEyENUVV0VDf4Gs6sUGqUUSiki0QhOqxNvyEuWJQunxYnNYiMYDVKWXdapk95wuC02kiVOmHnk049w5yl3UuwoBkApxTHFx3DBzAtwupw4rA68QS9v7Huj24klMktbDBfpyk1aDSubmzdT31HP6b8/nV0tu5icP5nrTriOImfRYO/yiNNThQ2lFP9v6f/j2NJj49eS9mC7+aHG4hxWo6/p3uvy6ct5ftfzMnFP9JqkWAyixFtUqaMgq7asQmmFP+THbjMvLgARItR11DEuexxtgbakW2FTC6YyKXdSfJtiaEg8FrH8yaq6KirHVXLzgpu55bVbyLXlMj53PHta99DU0cT0gums2rKq0wec2IhcvbceAyN+spcPQ2IoSp2oCuaoZHugnc889hl2NO9g/vj5/PPyf1LgKBi0/RzpukrjS/SFmV9gj3sP/rCfcDRMs68ZT9DDgrELOqXIAF2mzQy21Pd6y2u3dDlxb6jssxiaJEAeova072Fb0zaC4SAOq4NDJT9RKAxl0OJvIduWTZY1i+n509FaU+OpiZf1EUNX6gUqFkRYLVZyHDlEdZQtTVvwhryd1o2NyMU6iMnJXgxlqTmhLf4WGrwN+CN+2sJtzCiZwYsXvyjB8QDoadBkQ8MGphdMZ3vLdsKRMIGw2c77hd0v4LK5kmq5EwV/1J80IjtUP6Sn+5AmE/dEJiTFYohq9DQSjARx2VxYLdZ4xyiH1UFeVh4KhTv0ca6YTEQYvspyy6j11NIaaDUn8mHWTD7QcaDTbUCZpS2Gk8ScUF/IZ9ZmjwTwBry4bC7mTJzDXs/ewd7NUSsxt7jGXcM41zhybDm4bC7C4TC+sA9PyIPNsKGUot5XT11HHW2htmHTaa+nXgNCdEUC5EHSXR7p69WvU7W3CothYUzOGABybDlYDAs5thwmZE8ABaFIqF/bmoqBcWH5hdR569DazDXPsmaZH4D8bu5ff3/SsnKyF8NJ5bhKpuZNxR/20x5sJxQJ0RHoQGtN5YRKPCEPP1zzw8HeTUHyucVusbO4bDFWw0owHKSmrQatzfI7sdKjiYbah/TEtMWBagMuRh4JkAdBd91+fCEfVz13Fd6AlzMnnUleVl68vnFBVgEOq4NCRyHjXeOxW+xS43gEqBxXSZGjCKthRWuNzWKjyFFEKBKiqtb8nYi5sPxCGr2NdIQ76Ah1sLFhI43eRjnZiwGXrrJBusfG54xnSt4U0NDc0Uw0GmVS/iQKHAXYDBvuoBsx8FIHaSpKK/CFfbhsLvKz8rEaVnLsOWitaQ+0s69tX7wZVayUaMxQ/pA+VNqAi+FHcpAHQXfdfmxhGzuad3BM6THc86l7uH/D/dR6aqlur6bJ3xT/BGyz2FhWtozxOeNlQt4IMKtoFv6IH2/IS4GjgCm5U2jxtdDmb+N7r36PFZ9aEV+2JdgSr30NyMdcMeTtbtpNvaceq2FlQt4EcrLMc14oGiLXnjvIezf6pBukeX7X8yyfvpwntz0Z7154Q8UN/Gnbn/io/iPcATf72vaR78gn35aPP+Lv1P11qMpkkqIQqeTSOgi6yiPd1ryNFW+vQKH47bm/jQfQ43PGp/0EPD5n/GDsvugHF5ZfSLGjGJfNFe9+OK1wGq3uVu5eczdv7X0LSPhwZdjJseUwr3QeJY4Sfrjmh8OiTqkYGTItNVhVV8VzO56j3m8Gx+Nzx+O0OdFac8B9gBZ/C83+ZilXOMDSld9zWp1saNiQ1L3wsmMu4/ZP3M60wmk4bA5COkSbv40iZxEKJSOyYkSTEeRBkK7bjyfkYU/rHiI6wtdO+BqLyxYDyZ92Uz8Bywlp5IjdBvzhmh/GR2++evxX+WvBX/nJmz/hymevZOO1G6lx12AzbEnrZtuyqW6vHpwdF6NOVyliy6cvTyr9VVFawTM7nmFv215CkRAT8yZS5CrCH/LTFmijnfb4hLChXglhpOmuskNqJaTKcZUsGLsAX9jHQfdB/FE/mxs2k+PI4YRxJ0h7bzFiSYA8CFJbEHuCHqrbqtlZv5Mp+VP48Wk/7rTOvevujdfOFSNTutuA80rn8dy25/jg4Ad885Vv4rK52Nm2k3A0jMWwmJUvlFVuU4sBky5FrD3QzoMbH8Rpc8aD5gc2PkBHsCNejadibAXekJcmmnDanBQ7iqn31ce3Edu2nOP6X29bMm9u3ozT5mRywWSqW6pp8DYQiATY3Lx5IHa3T0hqhegtSbEYBKmTBuwWOx/s+wBvwMtvlv+GHHtO2skuscYSYvSwW+z8/rzfYzNsPPLBI1S3VROJRgAIR8Jsa9lGjacGX8gnnfXEgEiXItYSaCGkQ0m37DtCHfE81Un5kzCUQbYtG5fNhcvqknKFgyiTyg6J1yCX1cWswlk4bA6mFE7BalhpD7RT31FPVEfTriPEcCcB8iCJjRZ+9qjPsrNuJ63eVi477jLOPPrMwd41MYjSdVV8df+rnDHjDIryiqh115Jvz8dQBiiwYKE90A4KaaMqBkSsHFirv5VWfysA3rAXl9UVX6amvYZAOIDFsDCpYBJWi3mzMjZKKeUKB1dvKzskHi+nzckJE0/Aalg50H6Ar/3f1+Il4IQYSSTFYoAltpcGeP/A+/xr978ochZx95l3Ax9PgEnM5RuqbT3FwDj9qNOp8dXQ5m+j1d+Ky+6iwFGAL+SjI9whbVTFgImliEV0BAMDT9CDRVkodhbjC/to6GigsaMRwzAosBdgMSxpRylT08yGeiWEkaa7yg7prkHP73qeJl8TBgZjnGOYWTyTNbvX8KuqX5Ftz+a/T//vQXgXQvQfGUEeRP9xzH/w8raXAfifM/6HEldJpwkw1e3V/GL9L2j1t8oI4SgUu1A9t+s5CpwF2C12Wnwt+MN+oPPIHcitatG/YqOPNsNGREcodhZz3bzrsCor/rCfJq+Z21rqKuXm+TenHaWU2rRDV3cl4BKP+Q9P+iG/P/f3WJSFn63+GV976WtdVjaR1AsxHMkI8gBK/VR+sPUgBzsO8omyT9AWbePedfeyz70vaQJMs78Zq7ISiAbIVbkyQjiKpF6oXDYX7cF2ov4ord5WChwFSSN3ALvadhGMBJlXOm+Q916MJuXF5cwqmsWVL1yJUgq7YefuU+/mxIkn0uQ3A+bUUUqpTTv40v3cu6rT/+iHj+IL+7AoS3zZc2edyx8//0euev4qXtzzIkXOIopdxVKVRIwIMoI8QDqNDLdV8079O+Q4cnhw+YNmTimdJ8D4w35sFltSa08ZIRwdUmuVjs8ez1H5R+GwOlCGwhfwxUfuYpNtgpEg4WhYblWLfhM7l4WiISzKEg+G/rTpT+xp3EMkEqE0p5Sntz/d452udDn3YnClm4QZioRo9DcS1dGkY15VV8WFcy/kU7M+RSQaod5TT3ugPV5XedWWVYP0LjIjI9uiOxIgD5CkYAfFjuYdRKIRFk1ZREAH4remGv2N1Hpq4+s5rA5CkVBSa0+ZzDI6pLtQjcseR5GziP31+3ln1ztYopakW9VOq5MTxp0gozaiTyUGErFzWbGzmEJnITn2HMLRMM/sfIbxRePJdZh3umJB1JKJSyQIHkbSTaDc1b6LqI4S1VEiRAjrcFIAbLPamFk0E41mf9t+GrwN8YGcTJvKCDHUSIA8QBKDnWZfM63+VuwWO1n2rKSR5YKsAvZ59uEOuNFaU+QoIqzDZBlZXZbjESNTVzP9CxwFnHfMeQB89cWvMsE1gdMnn84J404AYG3dWrkQiX6T+sEtHA2zpXELWfYscrNyyc3KRSlFva+eJn/TkB9FFMlSS8DVdtTSEerAwEApRSQaYWfrTkLREDWeGu5ddy/esJdxueModhWj0bx34D0OdhzEZXGlbSoj5yYxHEiAPEBiwU44GqbeYxbHn1E0g0Ak0Ok2+uS8yQSjQXxhH1PzpnLT8TeZFQtkMsuo0lWt0u9/4vs8cd4TnD3jbFr9rXzlb19hyYQlVLdXy4VI9LlYk6KY1A9uHzZ8iDfkxWpYGZs9Nmldm2GTdLBhJnUCZWuglWxrNhbDzD02lIFFWdjr3hu/kzmnaA7+sJ8iZxF5jjyiOsqmhk3x81FifewmfxM/XPPDwXyLQmREJukNkFhppDp3HREdocRVQrY9G4JmTnFiy89xrnE0+Zo47+jz4rcmu5roIkaudO2nE0v8PXTOQ8x9YC7/2PkPHNkOChwFacu9rd6/GpDfHXF4aj217Gnfw37P/qSSX8FIEF/QxwH3AawWK5NzJ3PQd5BQJERYh8m1mSPJkg42/CROoFxzYA1Wp5WPWj5Ca21+oQmEA1xYfiGr969mfM54zp91Pj9c80OKXcVkGVl8VPsRhjI4ceKJSdu2GTbcQfdgvK0kqZPmpXyqSCUjyAOkclwlZ5SdQYuvBbvFzsLxC7m18lZmFc9Kext9wdgFEtCI+IXqvKPP465ldyWdwMfnjuf+z9wPwObGzi1fD3oPsu7gugHbVzHyVNVVsbZuLaFoqFPJL6uy0uBtIBwNs2ziMhQq3uUxGA7S4GugwdtAs79Z7mQMQ7EJlGW5ZdgsNgqyCjCUQZQohjKYWzwXIJ5fvGrLKuYUzeG8o8/j1QtfZU7xHNwBN2sPrI3/XgCEoiFy7bmD9baA9KXs5I6bSCUB8gAJRULct+Y+ahpqODr3aH7zqd9QOa4yo5afILO9R7Pujv0Fcy/gwrkX4gv52HBwQ1JHq8O5EMmsbpHo/vX34wl6zPrG/qZ4oPx+/fvsrNvJ9gPbOa7gOHKduZS4Sih0FAIQwQyILMpsEiLBx/AVu0YZysBhcVDkKGJC9gROm3xapyCzur2aJROXkJuVy4sXv4gLF76wj5q2GqLRKJ6gh3A0zJyiOYP6nlIrBA2XqhtiYEmAPEAeeO8BPmz4kOmF03nmi8/EH5eC+eJwJAayv/7MrzHCZkez+o76+MSaFn8LTb4m/rn3n0mVUYTIRFVdFZuaNqExP3RFohF2te0iFAnxft377GjaQY49h0c++wj7PfvJtmXjsDowlIHdsJNlyQKFBB/DXOI1KqIjOK1Obq28lQ0NG7oNMkuzS/n7RX/H7/PTHmjngOcACoVVWQd9InG6CkFSPlWk6rcAWSn1sFKqXim1KeXxG5VSW5VSHyql/ifNerOUUhsSvtqVUjf3134OhPqOer7/6vcBuOfMe3BYHUnPd3cbXYieFDmL+O3Zv6W2uZYGTwPNvmZqPbW4rC6yLFnUemr5x55/8B9//w8ZxRMZW7VlVfxcpZTCUAaGMtjVvos9LXsAePL8JxmTPSZp4l5UR1EoojoaL08pwcfwFrtGXTz7Yp773HNUjqukxl3DQe9BWv2t8eVSj/O0wmk8c/4z1DfXs7NuJztad4Bi0NMauqoQJPnyIlF/jiD/Dvh04gNKqVOBzwLHaa2PAVakrqS13qq1rtBaVwALAC/wTOpyw8l3/vkd2gJtfProT3POzHPSLiMpFOJIfPKoT3J1xdXsa9hHc0czRxUchc1ioy3YhkZjYLCjdYfc6hYZq3HXMDl3MvrQf0A8DayhvYHFkxaztX0rkFxxRSlFREfQaHJtZoqPBB8jT1luGaFoKOmxdMe5cmIlT33xKYrziqlpq8Eb9A56WkOmqY1idOu3AFlr/QbQnPLwdcCdWuvAoWXqe9jM6cBOrfWeftjFAfHegff43/X/i82wce+Z96KUGuxdEsNQYkpFV4X3//v0/2Zc7jiiKsqelj14Qh4U5sifxbAQjoa7vSBJQX+RqCy3DJthozCrEAODiI4QioTw+D3k2fI4Z/bHH/YTb8O7rC5cVhe5tlzsFrsEHyNE6iDOheUXEo6GzQ9DPQSZ5846l6OKjyKqoxxoP0BH0By9Haw7C5LaKDIx0GXeZgJLlVI/AfzArVrr7q7CFwJPdLdBpdQ1wDUAZWVlNDY29tW+ZqStra3L56I6ynV/uw6N5j/n/SfFFA/4/onD192xHWg+n1kH8JWtr/DA5gfoCHZgV3bq3HXcueZOrptzHRXFFXxx9hf56+6/ss+9jzxnHv+/vTuPj6q6Gz/+ObMlk31DEnYQCA1UUYygtq5YRWmLrQtuRdtqH61VrKi1tiL28ala9MHqT636qCgW1GppXXBDcEGEiKCy70sggYTsyUxmO78/wkxnJjPJTJKZTIbv25cvZebOnTPcmXO/99zv+R6TMvlGAC0GC2ZtZnft7nbfw3WH13W432SUSMc3EU0pmsKTG59Ea02KIcWXrnOo7hCPnfkYB10Hsdlsvu/ScNNwTu3XVtKrtF8pj3z7CE2OJjIyMrhq9FUMNw2PW/8nxzb26uvrMWojdpedg80HyTPncV3xdWGP89icsTicDsoby9lXt48B1gEYDAb6WfpF9b3oqWPr/329bsx1AHJ+7mWJ9ruNd4BsAnKBSUAp8KpSaoT2n3p/hFLKAvwIuKujHWqtnwaeBjjppJN0QUFBjze6M+Hec/66+Xx58EsKMwq5/7z7yUrJAvCNBEpKReLrje9TKFarFYAlFUvITM3EptsC5ty0XJocTSypWMLk4sn8dcpfsXxoYfHOxTjcDoymtuL+Gs3grME4lZNhucNYsGcB8J/v4JL1He83WSXK8U1Ekwsmk52d3VaH29lITUsN+w/v59xh5/Ldod/ln1/8k0ZHI9Wual8NWe/3dHLxZNY3tU0/6a1+To5t7JRVlvHM1mdQRkWaKY10Szou5SI7Ozvs3/uM42dwqOwQDY4GGlobWFu1lpJ+Jcw8fmbUx6qnjq33+yrflcSRSMci3lUsyoE3dJvVgAcI97cxBfhKa30wbq3rQQ2tDdz54Z0APDT5IV9wLER3RDL7+qFzHqJ/Sn9sDhtOjxOlFDmWHEzKFPYWqMzqFqF4J2eNzR7L+vL1GLWRX5X+irlfhq4hK3Mpjg7+ZdIcHgctzpZO84lLC0u5vfR2huQMId2STrOjmd1VuxmbPzaOLRcicvEeQV4MnA0sV0qNBixAuHsal9NJekUiu+/j+zjYfJBTBp3Clcdd2dvNEX2Y/4pPRoMRpzv0xBj/OxMLpy2k+PFiqoxVjCwcicfsCViJz7u6ntegzEEcth0Oud9oyR2S5NLiaOGNDW8AcN7o83jimyfIT80PuWqjfw6nHP/kVd5YToG1IGAF2EguqEsLSzl36Lk0FTbxXNlzrK1ayzWLr2HRxYswqPhXnZXvqOhILMu8LQRWAsVKqXKl1C+A54ARR0q/LQJmaK21UmqAUuodv9emAecCb8SqfbEyb8087vr4Lh5d9SgKxWNTHsOgDLIAg+iS4BWfclJy2Ne0j8bWxg4nxgzJHsIl372EltYWNuzbwCmFp3RYQjDcrG6TMsn39ii3q2oXja2NnDb4NE4ZegqNjsZ2dxtk1caji3+ZtBRjCjmpOVFdUGekZPDWFW+RlZLFaxtf497l98awtUJ0TSyrWFyutS7SWpu11oO01v+ntXZora/SWo/TWp+otf7oyLYHtNYX+L22RWudr7VOrIztCC3esBiXx8UvT/wlEwZMCHhOKgWIaASv+FSUXsSQrCE4PI5OZ1+/+KMXmTBwAm6Pm5e+eolWVysQ+jsYblZ3UUZRVO2V73dyWbZrGc+ufRaL0cLTP3wagzKQaclsV0M2EZYPFvHjvaBubG2kxdVCRVMFW2u3Mr7f+Ij3UdKvhFcufgWDMvCnT/7Ey9+8HLsGC9EFspJeD9t0aBObqzaTlZLF/WffH/BcRVOFrP8uohIqN7gwrRCryRrRwjIXj7uYjJQM9jfs53cf/q7diLT/d7C7C9Z0tG/R9zjcDv7r7f8C4O7v302zu5mle5dSY69ha+3WgLsYibB8sIif0sJSpo6YSourxbcgTFFGEW/tfCvg9x7qzql/nvr5I89n3nltz//i379g5b6VcfoEQnQuohxkpdQ9nWxySGv9VA+0p09zup38a+O/ALjn9Hvol94P+M+o2oGmA6SZ0zAbzL5C6dA+d08Ir3C5wRP6TwjIn/PPU97XuM+XcrGiYgXfHfJd9tft5+l1T3PQddA3Ig3h80e7wn+0u6f3LeLvsVWPsfXwVkbnj2byyMm+i58sSxZp5jR21+/Grd0UphViNph9ywd789xFcltXtY7c1FxanC3kpOZQlF5Ek6Mp6t/7TSffxKbqTTz55ZNMe2Uaq3+5mqE5Q2Uug+h1kU7Sm0RbTeJwq1zMB476AHn2J7MxW80UZxezr3Wf70rae2LxaA8e7aGutY4ccgCpFCA6Nn3MdOaWzcXhdmA2mEPmHAeP3H5d9TUrD6wkz5qH3WUnOyUba74Vs8nM2oNrOXXgqQHvEe47GCro7ujE19WJOyLxHGw6yH2f3AfAvPPm8fq21wMuforSi6hvrUehaHG1oNEBdw1k0YXkV95YjtlgDnisK793pRSPnv8o22q28eHOD5m6cCqf//zznmyqEF0SaYqFW2vdoLWuD/Uv0K6O8dHmoz0f8fqO1zEZTBRYC6iz1zG3bC5PrHvCd2IxG82oI/80OZsAWYJVdCySFZ+C85QtRgsOt4P61nrfY2MKxpCZkokHD2sPrg34xYaqgtGVdAn/iTvB+xZ9y90f3U1DawMXjLqAKaOmhEz1MRvM1NhrAr57vbl8sIivQZmD6J/Wn5zUHN9j/r/3aOYjmI1mXrvkNYrzi1l/aD1XvnElHu2J9UcQokORBsidBcBHfYB8/8r7cbgcWM1WslKzfCeKLbVbfCeWTHOmb1lOl8clS7CKiHSWGxwqePHg8ZWDq7PXsat+Fyf2PxGFoqG1gX0N+6i11Yb9DgYH3ZEEPuEqYcj3OzGFq6yz5sAanlv7HCaDiUd+8AgQ+uKnf1p/UowpUj/7KNXR770rF9gvbHiBnx73U3JTc1m6Zyl/3/j3dsH1vDXzeGbzM/H6iOIoF2mAbFZKZYX5NxswxrKRiW5z9Wb2NOxBa01hRqEvEcV74vCVwzGlcGzOsRgMBhRK1n8XPcI/eLG77FTbqnF5XDg8Duwuu287t3ZzwjEnUFFTQb2tnlZ3a9jvYFcWDolktFskNq01t7x7CxrNLRNvobigGAgfDBXnFstdg6NUR7/3rlxgA/RL78efz/0zRXlFHG45jMPlkMm+otdEmoP8BTAzzHMKWNIjremjZr0/i1ZXK4OzB5NqTvU93uxspjinmBZXiy+H1KRMZJgzmFg4kQfPeLAXWy36ko4mqnjzlBtbG2l2NaO1RqEwKAM19ho82oPNZaPOXscNx99AgbGAx8sep7ahluWXLQ+5ymNXFw7xjnZ31maRmBatX8SKfSs4Jv0Y/nj6H32Pe4Oh+1beR6Oj0bfoDNBpjrxIXuF+792Zj7C1YSvDc4az9fBWKhorGJEzwhdcD84c3NMfQYiwIg2QJyKT9EL6aO9HvL3tbQoyCigcWEiDoyHgRDGrdBZAwImlf1r/qOvLChGON3i5aelNaK0xG81kmjPJtGSyo34HQEAZpptPvJkF6xdQZ6vj+jevZ+FPF/LlwS8DJuSN7zeet3a+1aXARwLjxBdqAmZJXgl3fHgHAP9z9v+QnZod8JpwwVCowFnuGhw9Qv3eu7MyZ3ljOaPyRlHVUkWtrZYvyr/gzKFnsqVmC1trt1Jvr6d6ebV8z0TMRRogu7XWDeGeVEodlTnILo+Lez5rq4B3+6TbOevYswJOFCZlYsX+FcycMDPgxCIrk4meVlpYitVkJS81D6XarmPrHfWYlRm3dtMvrZ+vDNOz3z7L6AGjOdxymBWHVnDDuzdQ66oNyBd8a+dbTB0xlVe3viqBT5IJlx+ab8ynvKGcE4tO5Jrx10S8P7lrIIJFUn3Hn/8Fm9FgxKVdFGUW0eJsodXVyqqKVWSmZJJmTiPVmCrVUpJQi7Olt5vQTqQBskzSC+HpNU+zpXYLI3JHcMvEW0gxpUQUCMtJRMRCpiUTm8vmK8Vld9lRSmHwm2rg9DjZWruV7JRsjMpIRWMFn1R8wtDsoe3qF6+rWieBTxIKVa/a7rLzzp53AHj0/EcxGkJPK5HvgYhEuJScUMFs8AWb1Whlb8Ne0kxp5FpzqWmpwaVduNwuLCkW3B631FhPMs2OZkqeKOGcwefw+I8eJ82c1ttNAiIPkM1KqfaJim0UR+EkPa01c7+YC8Bfzv0LKaaUgOeDb2GalEnSKkRM3XPKPcwtm8th++G2fHeDCbvLHlCrdG/jXlJNqViMFixWCyZlotpezd6GvQzOHIzB0BZMe/MFJecv+YTKD91duxuj0cjl4y7ne0O+F/U+JXAWwVbsX0GWJYtzhpzT4fcj+IJtQOYAAPY370ejGZozlH0N+zjYdBCF8pWVk2opyeOhFQ+xt34va1PWkmpK7fwFcRJpFQvvJL1bQ/w7E3g3Bm1LaEopfj3p10wfN52LxlwU8FyoJaV3N+zmtIGn9VJrRbLyL9UVPKt8ZM5IBqYPRCnlK+lmd9kZkjHE9/qx/cZiVEY0mgONB3z3gqQSQfIKLtlWZ6/jYMtB3G43D06WicOiZ5VVlnWYVhiqYk5RRhEmgwmL0YJLu8hPy8dkNHGw6aDvVrz0UcmhvKGcv3z+FwD+dNqfMKhIw9LYi2gEWWs9J9YN6YuMBiPH9T/Ol/MJbSMpty2/TZbcFb0ieNSmrLKMW5fdisPtIN+az7j8cWi/jCijwcjQ7KHsrNtJo6ORmpYajkk7xpcvKN/X5BOQH6rMbKjegNFg5KwBZzE4W+4YiPgKNaGvsqUSu8uOyWAi05JJXkoezc5mmlqb2N+wn4GZA9FoqZaSBH6/9PfYXDYuLrmYSQMm9XZzAiROqJ5EulJDVoieUFZZRkVzhe/PpYWlDM0ayqjcUTx85sPceMKN7erZppvT+cGQH+DyuKi2VWNURpn8ksT87zTUttZS3VxNY1MjD53zUG83TSQJb4rh/qb9NDgaqGiqCLttqBrblU2VpJnSMCojSikGZA7g2OxjsZqtKINiw6EN3DT+Jumj+rgvD3zJS9+8hMVoSci7VxIgd5G3A1iybwm3Lb+NOz++03cbSZbcFfEQbinXovQiX85fWWUZexr2sK12G7ctvw0gZHH/eZPnMcg6iB0VO/h026cU5xb31scScVBaWMpZg89if9V+yqvK+e3Jv2X+xvlSYUd0W/CkO5vLxqrKVWEX+gi14EhuSi7H9TsuYBnroowi8qx51NfVs758PY+vehytj8r6AElBa82t790KwC0Tb2FE7oheblF7EiB3gX8H4C05s6pyle8q2aRM7G7YLUvuipgJVaprzso5bK/d7guGX9rwEnPL5pJqSiXfmu8rjQSEXLr6orEXMSBzANtqtvHLf/9STj5J7puKbyivL6coo4jfTPyN7/FwS1ALEQn/SXcOt4MGRwP1rfX87tPfdRgk+/dJxfmhV2jMTsnm6uOvJtOSyasbXuWhFXLXo696Y9MbfLb3MwrSCrj7+3f3dnNCkgC5C0Ito2kymNhYsxFou9KdWDhRltwVMRP8HXRpF5XNlbS4W7C77ayuXM3j6x7H6XZGvNyrxWjhmgnXkGnJ5LWNr/HY6sfi/KlEvDjdTj7f/TkAs8+YnTBllUTf500xbHW1Uttai9vjxqiMNDmafEtGd3YRFm5p83tOuYe7J9zNSxe9BMBdS+9iybajeiHfPqnV1epblOi+M+9rtyhRooi0zJvwE1wmqa61jvrWeqpt1dy2/DZfSTdvWTcpgSR6WvB3cHd92x0LAIMyoLXG5rJxyHYoYCnpjsq3eb+nJ/Q7gUteu4RZ789i4sCJTBw0sd223pNbV7/b3X296J7n1z3PtpptjMwbyc9P+HlAWcpMSyYleSW93UTRR3kn3TU6G31L3nu0hzRzWodLRvv3BR3VUa6urubHY37MnDPnMHv5bC5//XLKritjVP6oOH5K0R2PrX6MnbU7KelXwnUTruvt5oQlI8hd4J9j7HA72FG3A5fHhcVgaZduIUQsBOe5NzmbAhYEMRqMGJSBJmdTwOu8ufDek1GoUZyLSy7m5pNvxulxcslrl3D/yvvbbVdWWRb2dqlIbC3OFuZ83FaY6L/P+m/WVa3zpesYMFDRXMF7e97j2iXXyjEWUfOO/jrdThQKj/ag0QxIHxDVZPXgtIvgO7B/OP0PTBszjfrWeqa9Mo0mR1OYPYlEUtVcxZ8++RMAD//gYUyGxB2nlQC5C/xv/zQ6G0Hju4Xt9DhpcjTx4d4P2de4T2ofi5gIvgWptUYrjeI/JQdTjClorbuUC/+XH/yFiQMnsq9hHy+vfRmP9sTy44g4enz14xxoPMAJhSdwydhLfOk6WmvqHHVorTEqI9vrt/tuiQsRKe/or8Vowa3dGA1GclJyyE3NpdnZTJopLeTk4mgZlIEXp71I/4z+bKzayLX/ujZg3kSkufQ9lXMvufuRuXf5vTS0NnDesedx/sjze7s5HZIAuQv8Z926PC5STankpOQAsLN+JxqNR3t8k6LkBCN6WvDM7+yUbEzKhEKhtcblcQEwMntkl3LhLUYLr17yKnnWPDZVbWLp9qWx/kgiDmpttfz5sz8D8MDkBzAogy9n1P+WuELh8rg6zFkXIpzSwlLOHHQm2SnZZFmySDGm0ORootpeTVVzVcDk4o7OkR3d6QLITMnk5yf9nFRTKv/Y+A/fghPhSBDbuzZWbeRva/6GQRl4+AcP93ZzOiUBchd5b/8MSB/A0KyhpJpS225zH1kFxmw0dzopSojuCL4FWZRWhHcA2aAM9Evtx+8m/Y5zhpzDwIyBDM4c7AuO7/z4Tv6x9R8djuIMyR7CgosWALBkyxI+2vUR0L50nFwA9h1/+fwv1NnrGJk/kg21G4D/pOu4PC5f/6XRpJpSpX676LIHz3iQv5zxl4AL9H6p/ShIK4h44nAkjsk4hivHXwm0Tdr7YMcHPfURRA/SWvPb936LW7u5/sTrGXvMWN9ziXrhIgFyN43OGu271e3yuEC3nVwyzZmALBAi4qO0sJTZp80m05xJijGFkwtPZvZpsyktLGXmhJkBo8ZllWWsqlyF0+PsdBRnyqgpnDvyXDSay1+/nHd3vsuclXPalq0+Ui1jzso5UQXJ4eo3i9g62HSQR1c9CsDUMVN9K4B603UMyoDb4w7IGZX67aI7gi/iW1wtPbqI1rw18yirLGNc4Tj+ePof8WgP01+fzpvb35Q+JsEs2b6E93a8R3ZKNveddV9vNyciiZsd3Uf0T+vPlcddyX0r72u7PWkwkGvKJcWUAsgCISK2gmd+Xzz64naPB1u0eREmg8m3SpX/Uugr9q8IeH1ZZRkpaSmUDC6hwd7AHZ/cQao5Fa00BtqqZRxqOcQT657g+fOf77S9oeo3zy2bK2UQ4+ChFQ/R4mzhh6N/yNDcob7Hvek6v//091TZqjBhIsuShdlglvrtokeFWla6O+fIiqYK9jTsYX/Tfk485kTOOvYsVpWv4vef/p5j0o8J6GOmjpjqq9Syr3Gf73sd/FhX+iH/KjDd2U+ycrqd/Pa93wJwzxn30C+9Xy+3KDISIHfDzAkzqa6upqCggHOGnENFUwW7G3Zz2H5YFggRCSO48153cB2NzkZa3a24tIvclFxyUnLalX/zD2YHZA7A7XHjxk2rq9U3+mg0GDFrM1tqt0TUFv/6zUBAcC4nlNipaKzgiS+fAGDOmXP4+MDHAc+XFpZy4YgLqWiqYGPNxnaltYToCdPHTGdu2Vwcbgdmg7nTc2SowHO4abjvOe+dsExLJjX2GnKzchlSMISm1raqPgOzBpJhyaChtYGnvn4Kq9kasLASHrB77N26WJeL/s49UfYEWw5vYVTeKG46+abebk7EJEDuIf4jbqFqNwoRD8Ejx8Gd9+6G3VTbq33Puz1udtbvpCitiOE5wwNeGxzMnlB4At9Uf4PL4/KVkQPwK5zRqeD6zTvrd7bVbHbbov6sInIPrngQu8vORWMuwqVcYUe7pH676Gn+36MV+1cwLGsYLa6WTs+R4QLP60Zfx+SCyWHvhGVZs2htbKXOXofVbGVEzghqW2txaifZxrYFKTIsGeyo3wFApiXT9xhEf7EuF/0dO9xymHs/vhdoK+vm/Xvy8r8I2l69nRnHz0iYvzcJkHuYN+cK5AQjel9w511jryHFlILdZUeptooFaKhsqeSiURfx6tZXfYHTlpotDM0a6gtm8635pBhScHgcON1OzEYzLo8Ll8cV8cISoW6xOj1OSUOKof0N+3nqy6cAuOy7l4Ud7eqsYoAQPSHcRVjw4kHhAs/FuxczuXgyW2q2UN9a3zb/R7vIS80j25KN0WDkO/2+w/pD66lsrORw9mFaXC2kmQJXi3S6nb47YV5dyYcOvujv6n6S1ezls6mz1zF5xGSmjp4a8FzwRVCtozahRt9jNklPKfWcUuqQUmp90OO/UUptUUptUEqFXEhdKXXrkefXK6UWKqVSY9VOIZKZt4SXl91lJ9WYilEZMWDArd2kmFJIM6fx1s63AgKnGnsNlS2VAfsbnj0cpdpKybk9bl+1jBtPuDGi9gTXb/ZObpU0pNh54LMHaHW3cnHJxaw+tDpgifJQVQRmTpgpF/ei1wX3XdAWeFa0VFBWWUaNvQaXx4VSCrfHzY66HVS2VFKcW0yGJYO8tDw0mq8qv0KhyLfmB+zLbDS3W6SiK/nQwYs2dXU/yWjDoQ089eVTGJSB/z3vf9tdkPhfBCmlSDelJ1Tlr1hWsXgBCKgCrZQ6C/gxcJzWeiwwN/hFSqmBwM3ASVrrcYARkLOnEF0Q3HmnmlJ9o79Wk5XC9EKGZQ1Do9sFToVphVQ2VQYsNGIymPjN8b+h1dmK3WnHqI2+ahmRlOrxr99c31pPo6MRp8fJos2LZKZ5DOyr38fTXz2NQjH7jNlhgw4Z7RKx5l+9ZunepZ2uNhsu8CxKK2LR5kUUphX6LtYVqu1OWFMlN46/kVmlsxiUNYiMlAxanC3YbG2rRPr3Zdkp2WSbs7u0kJK/4It+mXvURmvNb99vK+v2qwm/Ytwx49ptk+j9UcwCZK31J0BN0MM3AA9orVuPbHMozMtNgFUpZQLSgAOxamcsyAiMSBTBnXdeah4u7SLF8J9V9mwuG1aDtV1HVZRRRG5qbruFRq4ffz1j8sawu3I3H2/9mC2HIpug51VaWEpJXgkWo4VMSyZZlixZVCdG/vzZn3G4HVw69lLGHTNORrtErwi+lZ6fms/uht2+33uo0o/hAs9pw6ZR3lhOUUYROSk5GJQBDx5STankpuZSWljqS3W84jtXYHaa+Wb/N7hb3QF92exTZjP7tNldWkjJX/CiTV3dT7J5Z9s7vL/jfbJTsplz5pyQ2yR6fxTvHOTRwPeVUvcDdmCW1jrgjKi13q+UmgvspS2r532t9fvhdqiUuh64HmDQoEFUV1eH2zQm6uvr4/p+In6S4dgONw3nutHX8ci3j9DkaOLYjGM5d/S5/Hvvv2lyNjEmawzThk1j8e7F1NpqcbvdADgcDppdzQxLH8bA9IEAXDfmOgCqq6vJSsnihIEnsKZ8Db9681eMSB2BzWbzPd+Zb6u+xYABI0Y8Hg8WLDhxMv/r+b5Z6rGWDMe3I/sa9vHsV8+iUNx83M1UV1czpWgKT258ErvTjkmZqG2pxe6yc9WIq+Led8ZSsh/bvmb+1/MxYQr5e6+vr+e+tfdhd9nJseRQ2VjJAysf4IaSGwL6royMDK4afRXDTcPpZ+lHra0WszKTakwly5JFQWoBuZZc3/fYO2r8/HnPc8HrF/DPjf9k6uipnDf4PF9fBnBqv1OBwP4tWsNNw3tkP8nC6XYyc8lMAGadNAtlU1Tb2v99BPdH9bZ6XMqVMP1RvANkE5ALTAJKgVeVUiO03wLqSqlc2tIwhgN1wGtKqau01gtC7VBr/TTwNMBJJ52kCwoKYvsJQuiN9xTxkQzHdnLBZNY3tU0F8N7ZsBvtvufXN61nxvEzmFs2FzduzAYzDhy4cDHj+Bm+2sj+fxcmk4nR/UdTnFvM37/9O79a+iuunnA1FqMlor+zFncLVpPVl5NmsVgwm81U2avi+neeDMc3nLtX3o3T4+SK717BqaPbTt6TCyaTnZ3tq7RTmFmYtJV2kvnY9jVVjioKrAXUOmuBwN/7koolWIwWXB4XJpOJ3LRcmhxNLKlYwsNnPtyu76qurg7orwDcuH39lfe43/W9u3zv//y057nsH5fxzrZ3GJo3NOC7YbVage5/X3pqP8lg7udz2V63nVF5o7jjrDvaVa7wCu6P+qX3S6gqFvFeSa8ceEO3WQ14gOBv02Rgl9a6SmvtBN4ATo1zO4U4qkR7m7C0sJSTi07mqQufYnT+aNYfWs8b69+I+P0yLZk4Pc6AxxLp1lpft6t2F8+tew6DMnDP6fcEPBe8ulminIxE8uroVnp5Yzlmgznguc7yUP37qxRTCsf3O77D/urSsZdyx6l34NEeXvjqBfbW7+3+hxIh7W/Yz73L7wXgr1P+GjY49vLvj+6dcG9C9UfxHkFeDJwNLFdKjQYsQPA4+l5gklIqjbYUi3OAL+PZSCGSXaiSXtGUKPR//rVLXuOMF89gv30/f9/094hWkrrnlHuYWzaXw/bDES0YIKLz35/8Ny6Pi58d/zOKC4rbldASIp46WiDkibVPsKNuB06P07dwkdlg9l0sh/vORltS9X/O+R/WHVzH+zve56JXLuLTaz8lzZzWY78J+W21mfXBLJqdzVw05iLOH3l+5y9IYLEs87YQWAkUK6XKlVK/AJ4DRhwp/bYImKG11kqpAUqpdwC01quAfwBfAd8eaePTsWqnEEeDUBNHQ02MifS1/lp1KycOORGTwURVUxV7G/d2OuFOJrbEzs7ancz/ej5GZeSPp/8x5DYykVjEU7jfO0CVvQq3dqNpKx25vW471S3VPX6xbDQYWfjThYzIHcFXFV9x3ZvX4ZfdKXrAsl3LWLS+rXTb/573v73dnG6L2Qiy1vryME9dFWLbA8AFfn+eDcyOUdOEOOpFuzxqRyOQizYvYlDWIKpbqqmz17Hp0CZOLDqRRZsXsWL/CsoqyygtLG33WllUJzbu/+R+3NrNNeOvYWTeyN5ujhBA6N/7bctvoyC1AJvTRo29Bo3GYrTQL70fK/avYMX+FT3aN+RZ8/jX9H8x6dlJ/P3bv3NC4QnMOnVWj+3/aOZ0O/n1O78G4O7v383QnKERv9Y/vzyRyEp6QhyFenJ5VO9KUmkpaTQ7mml0NLKzZietnlYGZw7u8baL8PxHj+/+/t293RwhAgQHu96+I8WUgtVkJSc1h+FZw6m2RxYodSV4/nDfh1x63KU8v+Z57vzwTr57zHc5b+R5Ue9HBHp01aNsqt7EyLyRHV509KV0r3hP0hNCJICeLNDunYCjUOSm5WJURvY37cflcnX6WrnV37P++5P/xq3dXH381b7R40hTaYSIt96qg3tc0XH88fQ/4tEepr8+ne0122P6fsnOf2LeY1MeI8WU0rsN6iESIAtxFOrJE5O3oL9buzEZTIzOH43RYGT59uUcbDrYU00WndhRs4MXv34xYPQ4XCqNBMkiEYRaet7msjG+3/iYX9Tde+a9/Kj4R9TZ6/je89+jsbWxx9/jaJFME/P8SYAsxFEomuVROxuB9E7AMRvMuLWbkoISxuaMpaa5hhfXvIjL0/lIsui++z+9v93osX8qjXcJcavJyqLNi3q5tUKELtc2dcRU3tr5Vswv6gzKwEsXvUT/jP4cbDrIzxb/DI/29Oh7HA2imZgXfC658+M7AyopJRoJkIU4CkVaRSLSEcjSwlKGZg1lVO4oHjnrERb8eAGj+o3CnGZmQ/UGXtr4Ete+e62MXMZIqNFjaEulOdhykDp7ne+xrqbSCBELwXW511Wti9lFXXCAtqV2Cz8/6eekmlJZvHkxc5aHXhJZhOZwOyKemBfqXLKqchUVTRXxam7UZJKeEEepSKpIRDqZr6yyjD0Ne3C4Hdy2/DbG9xvP4ILBVDRX4NIujB4jGw5vYM7KOcw+ZbaUc+th3tHj4MoVgzIH8XXV1wHbyoIsIpF5J+5h+89jPXFRFypAm7NiDq2eVo4fdjwH6g8wd9VcRueP5srjruzmp2jTlyakdcWDnz0Y8cS8pXuXkp+aH3AuMRlMbKzZGK/mRk1GkIUQYUUymc974nF6nBiVkcO2wzz19VM0O5t9K2Q53A6Mykh9a73c3u9h4UaPoS2VxuVxtdWZ7SSVRoje4j9ZN1YT94LTjZweJ1X2Kmpba8lNzaW4oJiivCJ+/d6vWbF3Rbfe62iw4dAG/vTJnwB4eurTnU7Ma3Q0BpxLau21NLQ2sK9xX8JOHpYAWYijWGdVJCI5WXlPPPnWfHKtuWRYMnBqJ3a3HbPBjFEZ0bQFZ063U27v97BQucf+zAYzdpedQy2HUChZkEUktGjmR0RjzcE1HGz5z6ThA80HMBlMeLQHpRSj80fTP70/memZTHtlGjtrd3b3oyQtt8fNL/79C5weJ9efeD1nDT+r09dkWjJ95xK7y87O+p04PU7MBrMvdW/d4XUxbnl0JEAWQoTV2clq3pp5rDm4pt0oc5opDQCNxmw0Y8CAy+PC4XbI7f0e1NHosXdkX6NJM6WRm5pLi6ull1oqRGRitcpmpiUTp8fp+7PdZQcNJkNbpqlCcfwxx9MvvR/VLdVM/fvUgNx98R9/XfVXVu1fxcDMgTx07kMdbuvN+66x17C1diuNrY00OZpAg1KKLEuWL8988e7F8fkAEZIAWQgRVmcnq7LKMlweV7tR5nxrPimGFDzag9Ztq2MpFI2tjYzIGNEbHyUp/fen7eseewXfUrYYLVLBQvQJwRP3euKOR0leie8iXWuNyWDCqZ1kmjN927S4WvjeoO8xtt9YNlVv4tLXLsXpdnaw16PPjpod3P1R28X4U1OfIjs1O+y2/nnfWZYsijKKaHG10OpuJcWUQm5Kri81I92cTkVLYk3YkwBZCNGhzk5W+an57UaZTcrETSfcRH5qPgBGg5HCtEIOHD7AnGVzqGgM3xHOWzMvoUv/JIqth7fy0tcvhV01zz9/PCc1hxHZI6SChTgqlVWWsbFmI06Pk0ZHI/Wt9YzMHskxaceglAq4O3b12Kt564q3OCb9GD7Y+QG/WfIbtNa9/RESgtaa6968DpvLxhXfvYKpo6d2uH3wRXpRehEmgwmDMjAsa1hA3nKzs5mitKJYf4SoSIAshOiWDEtGyFHmq8dezdRjpzKuYBxXl1zNh5d9yCkDTqGqpUpqjvaAOR/PCVm5wqu3VikToif01CqbwaOYmZZMLEYLN55wI7NPmR3y7tiwnGEsvmwxKcYU/rbmbzy88uEuvW+yrWD57FfPsmz3MgrSCnj0/Ec73T7UJG/DkX9Cpe5NGzYtRi3vGgmQhRBd4i3ttq12G4s2L6Ikr6TDW6IGZeDFi16kIK2AD3d+yNzP5/ZCq5PD+kPrWfjtQixGC/eccU/IbWI12UmI3jJvzTye2fxMVK8JlWpkMph8pSrD3R07ZfApzJ82H4DbP7idBd8siPg9k3EFy/KGcmZ90FbK7bEpj1GQVtDpa0JdpKdb0hmQOSDkoMr4/PGxaHqXSYAshIhaWWUZc1bModHZSKu7ldWVq/l0/6edFn0fkDmAF378AgB3f3Q3q/evbrffZBt1iYV7lt2DRnP9idczJHtIyG1iNdlJiL4k1Cim2WDuNNVo3pp5VLRW8MgPHgHg2n9dy5JtSyJ6z2RbwVJrzQ1v30BDawM/Kv4Rl429LKLXmZSJ3Q27Ay7SXR4XJXklMckz72kSIAshovbE2ieoslfBkdQ8j/Zgc9lYc3BNu21LC0sDbpVeOPpCZk6cicvj4vLXL6ehtQFIzlGXWFhzYA3/3PxPrCYrv//+7zvcti+chISIpVCjmE6P05dq1Fkqx62n3Modp96By+Pi4tcuZlX5qk7fM5L68X3Js189y1tb3yI7JZsnL3wSpVREryvKKGJi4UTfRbpSCpMysapyFbctvy2hV9EDWUlPCNEFW2q3YDKYfB2lyWAizZxGizuwjJj3xBO8otQDkx9g+Z7lrKtcxw1v38CCixZEvGrf0STUSlx/WPYHAG46+SaKMhNrUosQseK9u1Rvr6d6eTXTx0yPqF+YPmY6c8vm4nA7MBvM9E/rH3Wq0QOTH+Bg80Hmfz2fC/9+IZ/9/DPGFIwJu/2gzEEcth0OeKyv5v9/c/Abbn73ZgAev+BxBmQO6HB7/wnWZZVllBaWUpRRREVTBbsbdoMCq7FtAMTmsnFx8cUxbH33yAiyEKJDIdMeFL7RY58oJnqnmFJY9NNFpJnT+Pu3f+elb15KulGXWPhs72e8u/1dMiwZ3HHaHb3dHCHiwv/uUqoxNaq7S11JNQru8748+CXP/PAZLhh1AYdthzlvwXnsb9gf9vXJkv/f5Gji0tcuxe6y8/PxP+eq466K+LUVTRXsadjD4u2LWbp3KWsOrulzaScSIAshwgqX9lCUVoRTO9FHomK3x41TOynOLY5438UFxTw+5XEAbnz7RrJTsqXqQge01vzho7bR41sn3cqCTQsiKofXU9UAhOgt3c3pjSbVKFyft65qHa9e/CqTBk1ib/1ezn/5fGpttWHfr6/n/3vzjrcc3sLYfmN57ILHIn5tRVMFqypX4fQ421ZZTc2n3lHfrqZ0og+ASIqFECKA/239cGkPSimO8RxDeUM5HtqWaj0m7RhuHH9ju7QA72hMo6ORfY37Am6NXjP+Gt7f+T6L1i9i9Z7VjOo/yncrtK+OusTK0l1L+XjPx+Sm5vLbU37LCxte6O0mCREX5Y3lFFgLwPafx2IVXHWU6jU4czBTS6ZSb69n/aH1nP/y+bx/1fshF8vwBuVAn7xAfX7d8yz4ZgFp5jReveRV0sxpEb92Y81GTAYTRmX0XdCkmlLZ27SXTMt/FmZJ9AEQGUEWQoQVLu2hxdXC7FNmt3V8xlROLjyZ2afMbjdC0tnEO6UUT134FMNzhvP1ga9J02l9etQlVvxHj28/9XZyUnNCbieLrIhkFM+a3p2leqVb0nnvqvcYljOM1ftXc96C83wTjZPFhkMbuOmdmwB44oInKOlXEtHrvIMhexv2UtVSRaOzkWpbNXWtdQzJHILdZe9TaScSIAshwuroxFRaWMrQrKGMyh0V9rZlJLdGs1OzWfjThZgMJl5c9yKFKYVSdYHAPMgr3rqCb6u/5Zj0Y/jNxN/0dtOEiKueyOmNNNUokmB8cPZgls1YxtDsoazav4rzF5yfNEFys6OZS167BJvLxozjZzBj/IyIXucdDGlobcBz5B8Ah8vBjrod2N12xhWM61MDIBIgCyHC6uzEVFpYGtDBBU9u2XJ4S0QT7yYOmsj9Z98PwMJ1C6mz1cX2gyW4gJF3o5X1VespyivimhOuIcOSEbZedFllmZTFE0nHP6fX7rbHNLiKNBgfljOMZTOWMSR7CCvLVzLl5Sk0tjb2eHvi7aYlN7GpehPfKfgO/++C/xfx67yDITa3DZMyoWircKTRoKGyqZIbx9/Yp8pOSoAshPAJDryAiCebhEqnqG2tbVfrMtyt0VmnzuIHx/6AZmczC9YuwO1xx+ZD9gH+I+91rXU0tDZgMphoNbRKvWhxVPLm9E4ZPCWmwVW4CXZAu4vS4bnDWTZjGYOzBvP5vs/bBcl9bYLsvC/m8cK6F7CarLx6yaukW9I7f9ER3tQUl8eFyWDCbDAD4MFDqimV3NTchA+Ig0mALIQAwucLA2Gv+v1PAKHSKQozCqlsqYzo1qhBGXhx2ov0T+/Pjpod3P/p/XH53InCP3/Ye7LxeDwcajoEwJi8MVQ0V4RNW3li7RO+pb9lFUIhui646gUQ9qJ0RO4Ils1YxqCsQazYt4IL/34hTY6mXv4E0Vu0fhG3vncrAM/88BnGHTMu4tfOWzOPFlcLzc5mTAYTHu3BoAwYMGA1WRmaNZTivMgrHCUKCZCFEED3SymFmtxSmFZInjUv4ryz/hn9WfCTBSgUcz6ewyd7Pun25+qLvHmQVc1VuDwu8qx5ZFuzGZQxKOTfs9PtZP3h9Tg9TozKKKPKIinNnDCT68ZcF/f37axvPDbvWJbNWMbAzIF8uvdTzp5/NpVNlXFvZ1d9tOsjfvbPnwHw0OSHuPK4K6PeR0leiS8lzKM9uDwuAFIMKQGDIn1pVF0CZCEE0PHs7Ug6Nf/JLXX2OnbW76TZ2UxxbnFUeWeTR0zmztPuxKM9XPnGlRxuOdzh9slo+pjp1LXW+eqsjsgdgd1lZ/qY6SEnEe1t2otRGXG4HbS4WtjTuAen25nQRfiFSFTz1swLuLiMZBGjkXkjWTZjGcNyhlF2oIxJz05iw6ENcWtzV62rXMe0RdNwepzMnDiTWafO6tJ+ijKKmFU6i6yULNLMaViMFtLN6ZxcdHLCT8YLJ2YBslLqOaXUIaXU+qDHf6OU2qKU2qCUeijMa29RSq0/ss3MWLVRCPEf3S2lFDy5xeF2dLmMz31n3cekQZMobyjn2n9di9ZRLNOXBEoLS2lpbsHpcZJtzWZY9jDfSSbUJKJmRzNu7cajj8wcdzuoaKlgS82WXv4kQvRNpYWlvkGBSPvGUfmj+OIXXzBx4ET21O/h1OdO5cOdH8aryVHbVburLW/a0chlYy/j4fMeRikV1T78560s2ryIkrwSLhl9CZePuZxLiy/tE5PxwonlCPILwPn+DyilzgJ+DByntR4LzA1+kVJqHHAdcDJwPDBVKTUqhu0UQtD9Ukr+k1vc2o3VZPUFddHeVjMbzSz86UKyU7J5c+ub/OXzv3TxU/VNS3cu5YPtH1BVU8VPR/004CQTahJRhiWjbea4UiilMBlMoMHmtnXyTkKIzkTTN/bP6M+yGcu4uORiGlobmPLyFP7vq//rhVZ3rKq5ivMWnEdlUyVnDz+b+dPmY1DRhYSh5q2sqlzVbmJ2XxWzAFlr/QlQE/TwDcADWuvWI9scCvHS7wBfaK1btNYu4GPgoli1UwjRpieWR/VObhmVO4pzhpzTrZGDYTnDePGiFwG4a+ldfLz74y7vK9H5j8LcuuxWZn4wE4DJoyZ3uEqXN20ly5KFPvIPtC39rdFYTdZ4fgwh+rxQJRSj7RutZiuvXPwKd5x6By6Pi1+++Uvu+vAu3x2e3lZrq2Xqwqlsq9nG+MLx/POyf5JiSol6P6Fys4dlDcOlXTFodfzFe6np0cD3lVL3A3ZgltY6eBbJeuB+pVQ+bQtLXgB8GW6HSqnrgesBBg0aRHV1dUwaHk59fX1c30/Ez9F4bIebhnNqv1MBfJNhov1N7T68m131u9jXsI/t1duZNmwa4/PHd6k9p+afym9O/A2PffUYl7x6CR9d9hGF6YVd2lewRDm+6w6v48mNT9LsaMaiLHxz8BtsysaIvBGcXHgyNpst5DGw2dpGh6urqxmWPgwjRvY07UFrjVEZybfmMzhtcNz7xESQKMdW9LxYHtvg32JlYyUPrHyAG0puYHz++Kj7xttPuJ3+lv7c8fEdPLDiAVbvW82jZz/aY31YV6yvXs+1S65ld8NuhmYNZcH5C3A0OqhujL6f2FW7i/yUfN9cCYfVgVmb2V27m7vG3QVEd/5ItN9tvANkE5ALTAJKgVeVUiO0X4Kh1nqTUupB4AOgCfgaCHs5orV+Gnga4KSTTtIFBQUxbH5ovfGeIj6OxmNrtbaNOnbls5dVllHRWkGaOQ2zwUyTp4lntj7TrUkaj1z4CN/WfMvy3cv59bJfs/RnS9tSCHpAIhzfJeuXkJmaiU3bcHvc7K3bi9vj5uShJ5OVkQW0b+e8NfOwWq2+tJUZx89gbtlcUowpGDAwPHu4byWsRPiMveFo/dxHg1gdW//fIkBuWi5NjiaWVCxhcvHkiPtGb7nGmRNm8tszfsu4QeOY/o/pfLT3Iya+PJGfjPsJL/7wxajzfbtrwTcLuP7N67G5bJxYdCJvXPoGQ3OGdnl/w3OHc9h22Pc5LBYLTY4mhuUO6/IxSqTfbbyrWJQDb+g2qwEP0O5vQ2v9f1rrE7XWp9OWprEtzu0UQnRBd0vFhWIymFj404UUZRTxyZ5PuHvp3T3Y4t7nP0O+qrkKh9tBTmoOqMhLInlvAZsNZtza3SeWcRUi0URSraIrfnDsD1h/43qmjJxCi7OFBWsXcMlrl1DVXNWt/UbK4XZw85KbufqfV2Nz2bhm/DV8du1n3QqO4T+52W7t7vIS4Iks3gHyYuBsAKXUaMACtBt/V0odc+S/Q4CfAAvj10Qhjm7dqVMZqxNMYUYhr1z8CkZl5KHPH+Jfm//Vrf0lEu8MeZvTRk1LDQrFsXnHMigzsuohXqWFpQzNGsqo3FF9eua4EL2ls2oV3ekbB2QO4O0r3uay4y4jxZjC65teZ9yT42Lel1U0VnD2/LN5bPVjmA1mnrzwSZ770XNYzV2bn+C/oNGK/SsYljUsaS/MY1nmbSGwEihWSpUrpX4BPAeMOFL6bREwQ2utlVIDlFLv+L38daXURuBN4Nda69pYtVMI0XO6WyquI2uq13DhmAsBmLF4BjtqdnR7n4lg+pjpNDubOdB4AI1mcPZgjMrYpVGY0sLSpDk5CRFvHVWr8A8Mu0opxaQhk7jjjDs4c9iZHGo+xLRXpnHByxewbNeyHi1n2djayP+u/F9O+NsJrNi3goGZA/nk2k/4r5P+y5cS0ROfqSijKGkvzGNZxeJyrXWR1tqstR50JG3CobW+Sms97kgKxUdHtj2gtb7A77Xf11qXaK2P11ovjVUbhRA9q7ul4jpz5ogzuWjMRdS31vOTV39CY2tjj+y3N5UWlpKhMmhxtGA1W5lQNKHDUZhQs+yFEN3XE5V8Ivl95qXlsfRnS3n0/EdJM6exZPsSzn7xbEqfKeWV9a/4VqHrigONB7jzgzsZ/L+D+e37v+Vg80HOHHYma65fw6RBk7q833AqmiqSdon7eE/SE0IkMe8J5r6V99HoaCTfms/0MdOjOsH4T3AJppTi+R8/z4aqDXxz8Bumvz6df03/V49N2usNn+z5hPlfzUcpxS2n3cIjZz0SdttQdUfnls0NqDcthOg6bwlFCN0HdaSz36c3eG50NLKvcR/Tx0xnz8w9PFH2BI+vfpw1FWuY/vp0hi0dxq2TbuWHo3/I0JyhndYndrqdfHvoWx5b/Rgvf/MyTo8TgO8P+T6zTp3F1NFTo65xHO7z+be/3l7P9vrt7Za4T5Y0i757VhFCJKTunGAikZ2azdtXvM2kZyfxzrZ3uPXdW3nsgsd6/H3iocnRxDWLr0GjOXfkuQzJGdLh9v6TIAEyLBm+x5PhhCREX9bR7xMIGzzfc8Y93H7q7bz49Ys8vPJhttVs45Z3b+GWd2/BarIypmAMJf1K+E7BdxidP5oaWw1bD29la81Wth7eys7anb5RZ4MycHHJxcw6ZRYTB00M29ZQwXpHfUhw8L+rbhfb67djwIDFZMFqtiZdfyQBshAi4YXqzBdPX8w5L57D42WPMyp/FDdPvLm3mxm129+/nV11uxhfOJ5zR53b6fbljeUUWAvaKsQf0ROTIIUQ4UUaTHb0++zs4tZqtvKrk37FL0/8JW9ufZOn1zzN1we/5kDjAdZWrmVt5doO2zgkewg/HP1Dbp10K8fmHdvp5+lopDsUb/tbnC24PC6MBiMajQcPbo+butY6au215KTkJE1/JAGyECKhddSZP//j57nyjSu59b1bGZ4znB8W/7C3mxux97a/x1NrnsJsMPPitBdZWt75dItBmYM4bDsc8FhPTYIUQrTxv/PVWTDpnxLW0e8z0otbo8HItDHTmDZmGgB19jo2VW1iY9VGNlVvYuvhreSn5TM6bzSj89v+HZk3MqqqFF25E+VrP+D0ODEbzRgwoNEYlAGP9nCg+QBmgzlp+iMJkIUQPa4nUys66swfPvNhttdsZ/by2Vz++uV8eu2nnFB0Qo+9d6z8+Ys/8+DHDwJw31n38d3+3+W7/b/b6eumj5nO3LK5ONyOtoVYkqzuqBCJJppgsqPf56LNi7p0cZuTmsMpg0/hlMGn9Nhn6sqdKP/g36M9GJURo8GIy+PCoz0oFC3OlqTqj+JdB1kIIcIKNQO8s9rKfzz9j1x93NU0O5uZunAq5Q2JfXtPa83r61+n3l7PpEGTmHXqrIhf2xOz7IUQkYumtntHv89YV/iJRlfKcfovCqKUwulumwiYbcnGaDDi1m4yLBlJ1R9JgCyEiIvOam6Gu5WZZkoL25nPWzOPR796lGd++AynDz2dA40HmPLyFA41H4rxpwkUTT3R//n0f1izfw1mg5kXfvxC1BU4vJMgp42clnR1R4VINNEGk+F+n4l0cduVYN1/tU4jRgzKQKY5kwxLBlmWLLJTsnng+w8kVX8kAbIQIiGEW6YaRaedeYophX9e9k++U/Ad1h9az5kvnElFY0UvfprQnl/7PH9Y9gcUiitPuJLiguLebpIQogMdBZPR1iRPlIvb7gbrRoOR0bmjsRgtvgGNiYUTkyo4BgmQhRAJItytzBZXS0SdeZ41j2UzljHumHFsqt7E6S+czr76ffH8CAGCR5Xf2fYO1715HQA/GfcTji86vpdaJoSIVLhgEkKXbSurLOvWktTxEhysr9i/IqI7fN6axxqN0+NkYuFEzhlyDkUZRfFrfJzIJD0hRELoaAZ4pLWV+2f0Z9mMZfzgpR+wtnItp79wOh/97COG5w6PZdM7tXr/ai557RLc2s11J11HhaOCxdsXR1R/VAjRu0L1P7ctvy2qShChgs+OFkVKNN47fEZlBNo+r8lgYmPNxqQMjkECZCFEHERSR7SnKjQUpBWw9GdLOf/l81m9fzVnvHAGS3+2lFH5o3ryI0Vs2+FtXPj3C2lxtnBRyUXUe+qjqj8aSl84oQqRzJKhJnk0/Yj38+ak5vgeK84tptpenbT9kaRYCCFiKtzku+B8vWjz4jrK/8u15vLB1R9w2uDT2NewjzNeOINNVZti+jlDabA3cN6C86huqWbKyCkMLRgaMs/au9KWECIxBadNeCfv1dnrqLPXAX23Jnm4vtQ/TawrlS/6OgmQhRAxFW7yXaigMNJJLJEE3VkpWbx71bucNewsKpoqOOX/TmHhtwt7/POFO7lUNVfx1Kqn2FW3i5MGnMSrl7zKgaYDEZeMEkIkLv+yZ9GUbUu0/ORIBzASqUxdvEiKhRAipnrqVqT/SSXS4v0ZlgzevuJtrnzjSv65+Z9c8cYVvL3tbR6/4PGufyA/4U4uEwom8PCnD9PqamV0/mjevuJtMiwZshKeEEnCe8fr1mW34nA7yLfmh51PECrFDPA9tnTvUkrySnjwjAfj/TE67EsHZw72bef9vPetvI9GR2OHnzdZyAiyECKmYnFrLpri/VazldcvfZ2npz5NmjmNl799meOfOp4V+1d0+f29gkfHrWYr+xr28eTXT9Ivtx/jhozjvO+cx57GPcDROQojRLIqLSxlaNZQRuWOCrjj5Z+aEOoies6KOcxZOcf3mM1lY1Xlqk7LxMVCtAuhJEKZuniRAFkIEVPRBoWR3IKMNuhWSnHdhOtY+6u1lA4oZW/9Xi5afBG/+/B3ONyOLn0uCDy5OFwOPtv7GZVNlaSlpFGUWcSgzEE0OBp8tywTabEAIUT3lFWWsadhD9tqt4WtgxwqxazeWU99az0tzhbqW+uxGC2YDKYen4sQyQJG4frSNGNaVDWek5EEyEKImOooKIxmBTp/XR2JHZ0/mhU/X8EfT/8jSikeXPEgY58Yy9zP51LVXBV1O7wBcG1LLTtqdtDQ2kCaJY2slCwK0gtQhvY510fbKIwQySi4LnC43N1QI7Quj8u3VLOX2WDulbkIofrS6pZqquxVneYlJzsJkIUQMdfTQWF3RmLNRjP3nXUfb170JsfmHsv2mu3c/sHtDHxkINP/MZ2Pdn2ER3s63IfNaeONTW+wqWITX+z/gsqmSjzaQ/+M/qSaUxmRNSJge5mIJ0Ry8Y4M51vzybXmhp18HKrahclgwmw0B2zn9Dh7ZS5CqL60X3o/ClILjvpqOzJJTwjRJ0W6eEg4JxedzOabNvPOtnd4es3TLNm+hFc2vMIrG17h2NxjOXfEuaSZ07CarVhNVqxmK6mmVL4o/4LFmxfT6GgEIC0ljSH5Q8i0ZvK9gd+j1l6LRge8l0zEEyK5hJt8vKVmC1trt/om5I3vN563dr6FW7sxYKDJ0US2ORu7x051azUePDg8DlKMKb02FyG4L73szcvCTqx++MyHe6WNvUECZCHEUctkMPGj4h/xo+Ifsbd+L8+tfY7/W/t/7KjdwY41Ozp87UkDTmL62OlcOvZSXt/+OtB2cvHeeu3ugidCiMQVqiJNRVMFtfZa30X1Ydth3tr5FlNHTOVv3/zNV+3inCHn8MrmV9BKgwan24nD7eCJtU9w4wk39kjaVbjFmSJZvU+q7bSRAFkIEReJUvvTe4K4auhVAY8PyR7CvWfeyx9O/wMf7vyQ7TXbsTlt2Fw27C677/+HZA/hkpJLwq7MF0k5pET5uxBCdE2olT8rWyopyijC5mobevWWTPto70cBr/1o70cUpBVQZa/C7rJjMrSFYtvrt4ddWTOaZanDlZ+cVTor7Gv899tTq5r2dRIgCyF6RSTLT3cmFoGmyWDi/JHnd2sf3U3/EEIktlAXwnm2PArTCtnVsMu3ndPtZGvdVgzK4JvMt+HwBkbnjG6roKPAoAxorXF5XL5c3+6MIkda2ziaz5bsNY9DkUl6Qoi4i3T1JiGESFTBk4+L84rblUzb27SXVFMq+dZ8lFIcsh0i1ZTK3qa9eLQHhQJAo0k1pfbIhN5oahtH+tmOtuAYJEAWQvSCaJaf7gvC1W4uqyzrUhk7IUTfE6pkmt1lZ0jmkIDthmQOwe6yYzaaMWDAoz1oNAPSB/RIrm/Y2sYmqW0cDUmxEELEXU8tPx1KR7l6/mkd26u3M+P4GUflyIgQomf49zOhUhPGFYxD68CqNmaDmXEF4yhvLKfKVoUJE1mWLMwGc0Cur7cvO23gaVGlo4XKIa62V4MH7B57u7zkcPs62tPDZARZCBF3sVh+ujPBaR21jtqYpnXMnDBTgm8hjjLBqQk3jr8xYFTZ4XZgc9m4cfyNXDjiQs4beh5FGUVodMh67hVNFVGno4WsbZzaj4I0qW0cjZgFyEqp55RSh5RS6/0ee0Upte7Iv7uVUuvCvPZ8pdQWpdR2pdTvYtVGIUTv6OpKeN0RnNaRbkpPuBNEV1cWFEIkJv9g1a3dWE3WgCC4KKOow1zfjTUbu5SOFhyot7haup2XfLSJ5QjyC0DAVHCt9WVa6/Fa6/HA68AbwS9SShmB/wdMAUqAy5VSJTFspxAizrqzEl5X9cTEFSGEiFZpYSkleSVYjBYaHY0s2rwo4jtXjY7GHum3euOuXV8XsxxkrfUnSqlhoZ5TSingUuDsEE+fDGzXWu88su0i4MfAxhg1VQjRC2JRCq2j0nFS/F4IEQ/B/VlZZRmrKlfh9DjJtGS2y//t6K5RpiWzy4Gt1Dbunt6apPd94KDWeluI5wYC+/z+XA5MDLcjpdT1wPUAgwYNorq6uifb2an6+vq4vp+IHzm2sWeztc3S64nf7brD63hy45M0O5qxKAuVjZU8sPIBbii5gfH545lSNIUnNz6J3WnHpEzU2+pxKRdXjbiKP3/2ZwCuG3Ndt9vh3573d71Pk7OJ7dXbmTZsGuPzx3f4mp78+ziayW83efXFYzv/6/kYjvzj8XiwYMGJk/lfz2e4aXjY373NZuPY9GPZ17zP12/VttRid9m5asRVUfUTH27/kKKUIhpbG2lyNJGRkcFVo69iuGl4wvQ3iXZseytAvhxYGOY5FeIxHeKxtie0fhp4GuCkk07SBQUF3W9dlHrjPUV8yLGNLavVCvTM3/OS9UvITM3EpttONrlpuTQ5mlhSsYTJxZOZXDCZ7Oxs3wzzfun9fFUs1jetD9uOaFaw8iqrLOOZrc/g0A7SLek0eZp4ZuszHaaRlFWW8XnV5zQ6Gql2VR+Vhfl7kvx2k1dfO7ZVjiq+k/8d3wIiFosFs9lMlb2KBXsWsL5+PaWFpQGfy78/GJ41nAZXAw6Pg8LMwi71DVarlWHWYQzLHwYkboWKRDq2cQ+QlVIm4CfAhDCblAP+S70MAg7Eul1CiPjryU46ktJx/mkdVw29KmadcUcrWYU6sXW0NKwEyUL0bZ2ld5UWlgb0hcH9gUbj9DiZWDiRB894MJ5NP6r1Rpm3ycBmrXW4DPMyYJRSarhSygJMB/4dt9YJIfqkRJqEEu2EwGRbOEUI8R/RVu0J1R+YDCY21gROxepK1ZtwixqJ9mJZ5m0hsBIoVkqVK6V+ceSp6QSlVyilBiil3gHQWruAm4D3gE3Aq1rrDbFqpxAiOfRG6bhwog3WpcKGEMkr2qo9ofqD4txi0sxpXXp/7+RlWUEvOrGsYnF5mMevCfHYAeACvz+/A7wTq7YJIZJPqFWseiuPN9oZ41JhQ4jkFqpqT7iqO93tD/znTUj6VtfJSnpCiKQRXBw/1Akg+BZjR6MrXR15iXbEKJFGv4UQsRcucC2rLOvR/kDSt7pOAmQhRNIpqyyLKDevo5NUR89ForNg3T9/sDcWThFC9J6OAtdI+oNIL94lfavreqvMmxBCxE24Um0dVZsAOGw/TIuzhZzUnIDnVuxfEXJ/3RGLhVOEEInD/3fdWdWdjvqDaNImJH2r6yRAFkIctTo8SWkwG8wB23ufG5w5GCGE6KruBK6dXdj75zWP7zeet3a+JSvodYGkWAghksrMCTMjTk3oqNrEoMxBOD3OkM9FqyvlmIQQyas7ecbh0ia21G5pN7L81s63mDpiqqRvdYEEyEKIo1ZHJ6npY6bj8rhwa3eXJ8pIzVEhRCjdmXcQ7sLeGxgH5zWvq1rX6eRl0Z6kWAghkkpw6aTx/caHLKUEnZeGm1g4kRUHVvhOYN7nvDnIPdVG734lmBbi6NHVeQfhykhaDda2keUQKWOSFhY9CZCFEEkjePLK7obdfFL+CanGVDIsGQGTWYabhgPhT1JllWVsrNmIw+0gNzXXF8SGC2672kapSyqE8PKfUBwuaA53Yb9o8yKZkNeDJEAWQiSN4MkrNfYaTMpEq6eVTJUZMJnlrnF3hd2PfxBrVEZsLhtzy+YydcRU3tr5VtjgNly1jI7a6N8mCZCFEJEId2EfboEi6VuiJznIQog+zX8CXPDkFbvLjtloxuVx+R6LpAZocI1Si9GC1WTlhY0vRF10P7he6ZbDW6QuqRCix0k99Z4lI8hCiKQRXDop1ZSK3WnHZPhPVxfJLcdw5d8aWhtIzw2d4xdKqHSK2tZaLE2WgO3kNqgQR6eenncg9dR7jgTIQoikETx5JS81j72OvaQaU6m11bLZvZn81Px2lSiCTyT+gXZOag4jskfQ5GgiKyWLLbVbfIuHQFtw2+JsCVnGLVQ6RWFGIRVNFaSZ06QuqRDCJ9r5DRIAx5akWAghkkbwLcZhWcO4+YSbyUnNwa3dWE3WiG45hiv/dk3JNSFLv5XklVDRVNFu6ddQ9UoL0wrJs+bJbVAhhE93l7YXPU9GkIUQSSXULcbD9sOUVZZRWlgaUSDaUfm39dXr25V++8eWf7CqchUmgyng5JZmTgtZr7Q4t9hXdklGgYQQPTl5V/qUniEBshCiTwhVIaK7Jdc6Ei6XryijiKFZQwPqFt+38j5MBlO7kxsa30h0cDpFd2spCyGSR4fL3oteISkWQog+qTu3JOetmcczm5/pdJtIb282OhoxG8wBj6Wb02lxt8isciFEpzpa9l70DhlBFkL0SR3dknz4zIcDtq1oqmBPwx72N+1nX+M+TMpEjjGn3T47q2PsHbE+2HyQBkcDpw08DWgbJa5vrcdsNJNhbmuH9+QWbiRaboMKIbzCrY4nk3d7jwTIQog+KdJbkmWVZexu2E2qKRWzwcxh22F2N+xmfO74Tt/DP40i1OIhc1bOAQ+kGlNxuB043U7qPHUcaDyA2WiWk5sQIiKdLXsv4k8CZCFEnxRc8xhC35IMNdJsMpjY2rA1qvfz34/FamFE9gi+rvoagExLJiaDiUZnI063k3pnPQ9MekBObkKIiEkN48QiAbIQIuGFmowX6S3J4JHmutY66lvrcbqd3Lb8tohHaUKNWDvdTpRSAKSYUkgxpaC1JislK2CfcrITQoi+RSbpCSESWrjJeEBEE+D8J7+0ulrZUbcDl8eFyWCKamJfqEk0ZqM5YJU+AKfHKRNrhBCij5MRZCFEQutsMl5ntyT9R5obHA2YlAmlFOmm9IB9Ab5R6q8PfU15UzlOjzNgxPr2j2/H5rKRl5pHk6OJ7JRs8IDdbcdsMOP0OHF5XJJ7LIToErnblDhkBFkIkdBCrUYXTX1Q/9X1nB4nqaZUclJySDWl+va1pXaLb5RaodhYs5FqWzUGDAEj1hMLJ2I2mH0j1rNPmc3s02b7RrGtJisTCydK7rEQQvRxMoIshEhokU7G64h38svSvUvJT83nkO0Qbrfbty+by0ZBagEWo4VqRzVmgxmXx0WTqylglHlw5uB2i4QAMrFGCCGSjIwgCyES2vQx032r0Wmtu1UftCSvJOS+rAarb5Ta5XFhVEYMyoDL4wJkRSshhDjaSIAshEho/ikSoSbjzZwwM+KR26KMIt++7G67b1/F+cW+CXgmgwm3duPRHt8EPFnRSgghji6SYiGESHg9WR/Uuy+bzcZd37vL97h3Il+6KZ0WVwse7SHblB0wYr1i/4puvbcQQoi+IWYBslLqOWAqcEhrPe7IY68AxUc2yQHqtNbjI3mtEEJ0R0eBdfAqViV5Jb4qFv4rWoULkCX3WAghkkssR5BfAB4HXvQ+oLW+zPv/SqmHgfpIXyuEELEUPEo9b8083/9D4GIlhY2FlFWWSbUKIYRIUjHLQdZafwLUhHpOtS09dSmwMNrXCiGOTtHkGve0cIuVRLLAiBBCiL6nt3KQvw8c1Fpv6+6OlFLXA9cDDBo0iOrq6u7uMir19eEGwUVfJ8c2eV019Crq6+vb9Rc2W9s60tXV1QH/P//r+ZgwYcSIx+PBggUnTuZ/PZ/hpuFxb7/omPx2k5cc2+SVaMe2twLkywkzehwtrfXTwNMAJ510ki4oKOiJ3UalN95TxIcc2+QWfHytVqvvcf//r3JUUWAtoNZZC4DFYsFsNlNlr5LvSIKS45K85Ngmr0Q6tnEPkJVSJuAnwIR4v7cQQnTEP4XD//97YrESIYQQfUdv1EGeDGzWWkvVfSFEn9CTi5UIIYRIfDELkJVSC4GVQLFSqlwp9YsjT00nKL1CKTVAKfVOBK8VQoi462yxEiGEEMklZikWWuvLwzx+TYjHDgAXdPZaIYToLT25WIkQQojEJktNCyGEEEII4UcCZCGEEEIIIfxIgCyEEEIIIYQfCZCFEEIIIYTw01sLhQghRJ8jk/OEEOLoICPIQgghhBBC+JEAWQghhBBCCD8SIAshhBBCCOFHAmQhhBBCCCH8SIAshBBCCCGEHwmQhRBCCCGE8CMBshBCCCGEEH4kQBZCCCGEEMKPBMhCCCGEEEL4kQBZCCGEEEIIPxIgCyGEEEII4UcCZCGEEEIIIfxIgCyEEEIIIYQfpbXu7Tb0GKVUFbAnzm9bAFTH+T1FfMixTW5yfJOXHNvkJcc2efXWsR2qte4X/GBSBci9QSn1pdb6pN5uh+h5cmyTmxzf5CXHNnnJsU1eiXZsJcVCCCGEEEIIPxIgCyGEEEII4UcC5O57urcbIGJGjm1yk+ObvOTYJi85tskroY6t5CALIYQQQgjhR0aQhRBCCCGE8CMBshBCCCGEEH4kQI6QUup8pdQWpdR2pdTvQjyvlFJ/PfL8N0qpE3ujnSJ6ERzbK48c02+UUp8rpY7vjXaK6HV2bP22K1VKuZVSF8ezfaLrIjm2SqkzlVLrlFIblFIfx7uNomsi6JOzlVJvKqW+PnJsr+2NdoroKaWeU0odUkqtD/N8wsRSEiBHQCllBP4fMAUoAS5XSpUEbTYFGHXk3+uBJ+PaSNElER7bXcAZWuvjgD+RYBMJRGgRHlvvdg8C78W3haKrIjm2Sqkc4AngR1rrscAl8W6niF6Ev9tfAxu11scDZwIPK6UscW2o6KoXgPM7eD5hYikJkCNzMrBda71Ta+0AFgE/Dtrmx8CLus0XQI5SqijeDRVR6/TYaq0/11rXHvnjF8CgOLdRdE0kv1uA3wCvA4fi2TjRLZEc2yuAN7TWewG01nJ8+4ZIjq0GMpVSCsgAagBXfJspukJr/QltxyuchImlJECOzEBgn9+fy488Fu02IvFEe9x+ASyJaYtET+n02CqlBgIXAU/FsV2i+yL53Y4GcpVSy5VSa5RSP4tb60R3RHJsHwe+AxwAvgVu0Vp74tM8EWMJE0uZeuNN+yAV4rHg+niRbCMST8THTSl1Fm0B8vdi2iLRUyI5tvOAO7XW7rbBKNFHRHJsTcAE4BzACqxUSn2htd4a68aJbonk2J4HrAPOBo4FPlBKfaq1bohx20TsJUwsJQFyZMqBwX5/HkTblWu024jEE9FxU0odBzwLTNFaH45T20T3RHJsTwIWHQmOC4ALlFIurfXiuLRQdFWkfXK11roZaFZKfQIcD0iAnNgiObbXAg/otoUctiuldgFjgNXxaaKIoYSJpSTFIjJlwCil1PAjEwGmA/8O2ubfwM+OzMCcBNRrrSvi3VARtU6PrVJqCPAGcLWMPvUpnR5brfVwrfUwrfUw4B/AjRIc9wmR9Mn/Ar6vlDIppdKAicCmOLdTRC+SY7uXtjsDKKX6A8XAzri2UsRKwsRSMoIcAa21Syl1E22z3I3Ac1rrDUqp/zry/FPAO8AFwHaghbYrXJHgIjy29wD5wBNHRhpdWuuTeqvNIjIRHlvRB0VybLXWm5RS7wLfAB7gWa11yNJSInFE+Lv9E/CCUupb2m7J36m1ru61RouIKaUW0lZ5pEApVQ7MBsyQeLGULDUthBBCCCGEH0mxEEIIIYQQwo8EyEIIIYQQQviRAFkIIYQQQgg/EiALIYQQQgjhRwJkIYQQQggh/EiALIQQQgghhB+pgyyEEElEKXUvMAlwHXnIBHwR6jGt9b3xbp8QQvQFEiALIUTyma61rgNQSuUAM8M8JoQQIgRJsRBCCCGEEMKPBMhCCCGEEEL4kQBZCCGEEEIIPxIgCyGEEEII4UcCZCGEEEIIIfxIgCyEEEIIIYQfKfMmhBDJ5RDwolLKc+TPBuDdMI8JIYQIQWmte7sNQgghhBBCJAxJsRBCCCGEEMKPBMhCCCGEEEL4kQBZCCGEEEIIPxIgCyGEEEII4UcCZCGEEEIIIfz8f5Cl1t5D0n5pAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.io import fits\n",
    "\n",
    "# 设置中文字体支持\n",
    "plt.rcParams[\"font.family\"] = [\"SimHei\", \"WenQuanYi Micro Hei\", \"Heiti TC\"]\n",
    "\n",
    "# 假设这是你的数据加载部分\n",
    "# df = pd.read_csv('your_data.csv')\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 识别离群点的函数\n",
    "def identify_outliers(phases, magnitudes, window=0.1, threshold=3.0):\n",
    "    mask = np.zeros_like(phases, dtype=bool)\n",
    "    for i in range(len(phases)):\n",
    "        phase_min = phases[i] - window/2\n",
    "        phase_max = phases[i] + window/2\n",
    "        \n",
    "        if phase_min < 0:\n",
    "            local_indices = np.where(((phases >= phase_min + 1) | (phases <= phase_max)))[0]\n",
    "        elif phase_max > 1:\n",
    "            local_indices = np.where(((phases >= phase_min) | (phases <= phase_max - 1)))[0]\n",
    "        else:\n",
    "            local_indices = np.where((phases >= phase_min) & (phases <= phase_max))[0]\n",
    "        \n",
    "        if len(local_indices) > 5:\n",
    "            local_mean = np.mean(magnitudes[local_indices])\n",
    "            local_std = np.std(magnitudes[local_indices])\n",
    "            \n",
    "            if abs(magnitudes[i] - local_mean) > threshold * local_std:\n",
    "                mask[i] = True\n",
    "                \n",
    "    return mask\n",
    "\n",
    "# 计算移动平均线的函数\n",
    "def calculate_moving_average(phases, magnitudes, window=0.1, num_points=100):\n",
    "    smooth_phases = np.linspace(0, 1, num_points)\n",
    "    smooth_mag = np.zeros(num_points)\n",
    "    \n",
    "    for i in range(num_points):\n",
    "        phase = smooth_phases[i]\n",
    "        distances = np.minimum(np.abs(phases - phase), 1 - np.abs(phases - phase))\n",
    "        weights = np.exp(-0.5 * (distances / (window/2))**2)\n",
    "        valid_indices = weights > 0.01\n",
    "        \n",
    "        if np.sum(valid_indices) > 0:\n",
    "            smooth_mag[i] = np.average(magnitudes[valid_indices], weights=weights[valid_indices])\n",
    "        else:\n",
    "            smooth_mag[i] = magnitudes[np.argmin(distances)]\n",
    "    \n",
    "    return smooth_phases, smooth_mag\n",
    "\n",
    "# 识别离群点\n",
    "r_outliers = identify_outliers(phases_r_true, df_r['calmag'].values)\n",
    "g_outliers = identify_outliers(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 计算移动平均线\n",
    "r_smooth_phases, r_smooth_mag = calculate_moving_average(phases_r_true, df_r['calmag'].values)\n",
    "g_smooth_phases, g_smooth_mag = calculate_moving_average(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10), sharex=True)\n",
    "\n",
    "# r band\n",
    "r_normal = ax1.errorbar(phases_r_true[~r_outliers], df_r['calmag'].values[~r_outliers], \n",
    "                        yerr=df_r['magerr'].values[~r_outliers], fmt='o', \n",
    "                        label='r band (normal)', color='tab:red', alpha=0.7)\n",
    "r_outlier = ax1.errorbar(phases_r_true[r_outliers], df_r['calmag'].values[r_outliers], \n",
    "                        yerr=df_r['magerr'].values[r_outliers], fmt='o', \n",
    "                        label='r band (outliers)', color='darkred', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "ax1.plot(r_smooth_phases, r_smooth_mag, 'r-', label='r band (smooth)', linewidth=2)\n",
    "\n",
    "ax1.set_ylabel(\"星等\")\n",
    "ax1.set_title(f\"周期 = {true_period:.3f} 天的折叠光变曲线 (r波段)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "ax1.grid(True, alpha=0.3)\n",
    "\n",
    "# g band\n",
    "g_normal = ax2.errorbar(phases_g_true[~g_outliers], df_g['calmag'].values[~g_outliers], \n",
    "                        yerr=df_g['magerr'].values[~g_outliers], fmt='o', \n",
    "                        label='g band (normal)', color='tab:green', alpha=0.7)\n",
    "g_outlier = ax2.errorbar(phases_g_true[g_outliers], df_g['calmag'].values[g_outliers], \n",
    "                        yerr=df_g['magerr'].values[g_outliers], fmt='o', \n",
    "                        label='g band (outliers)', color='darkgreen', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "ax2.plot(g_smooth_phases, g_smooth_mag, 'g-', label='g band (smooth)', linewidth=2)\n",
    "\n",
    "ax2.set_xlabel(\"相位\")\n",
    "ax2.set_ylabel(\"星等\")\n",
    "ax2.set_title(f\"周期 = {true_period:.3f} 天的折叠光变曲线 (g波段)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "ax2.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "# 存储所有点的数据和艺术家对象\n",
    "all_points = {\n",
    "    r_normal: (df_r.iloc[~r_outliers], phases_r_true[~r_outliers]),\n",
    "    r_outlier: (df_r.iloc[r_outliers], phases_r_true[r_outliers]),\n",
    "    g_normal: (df_g.iloc[~g_outliers], phases_g_true[~g_outliers]),\n",
    "    g_outlier: (df_g.iloc[g_outliers], phases_g_true[g_outliers])\n",
    "}\n",
    "\n",
    "# 创建注释框\n",
    "annot = ax1.annotate(\"\", xy=(0,0), xytext=(20,20), textcoords=\"offset points\",\n",
    "                     bbox=dict(boxstyle=\"round\", fc=\"w\"),\n",
    "                     arrowprops=dict(arrowstyle=\"->\"))\n",
    "annot.set_visible(False)\n",
    "\n",
    "# 提取FITS文件头信息的函数\n",
    "def get_fits_info(fits_path):\n",
    "    try:\n",
    "        with fits.open(fits_path) as hdul:\n",
    "            header = hdul[0].header\n",
    "            info = {\n",
    "                'DATE-OBS': header.get('DATE-OBS', 'N/A'),\n",
    "                'TELESCOP': header.get('TELESCOP', 'N/A'),\n",
    "                'INSTRUME': header.get('INSTRUME', 'N/A'),\n",
    "                'EXPTIME': header.get('EXPTIME', 'N/A'),\n",
    "                'FILTER': header.get('FILTER', 'N/A')\n",
    "            }\n",
    "            return info\n",
    "    except Exception as e:\n",
    "        print(f\"无法读取FITS文件 {fits_path}: {e}\")\n",
    "        return {'ERROR': f'无法读取文件: {str(e)}'}\n",
    "\n",
    "# 鼠标点击事件处理函数\n",
    "def on_click(event):\n",
    "    # 只处理鼠标左键点击\n",
    "    if event.button != 1:\n",
    "        return\n",
    "    \n",
    "    # 检查点击是否在图表区域内\n",
    "    if event.inaxes not in [ax1, ax2]:\n",
    "        return\n",
    "    \n",
    "    # 初始化最小距离和最近点索引\n",
    "    min_dist = float('inf')\n",
    "    closest_point = None\n",
    "    data_row = None\n",
    "    band = None\n",
    "    \n",
    "    # 遍历所有点集合查找最近点\n",
    "    for artist, (data, phases) in all_points.items():\n",
    "        if artist.get_axes() != event.inaxes:\n",
    "            continue\n",
    "            \n",
    "        # 获取数据点的坐标\n",
    "        xdata = phases\n",
    "        ydata = data['calmag'].values\n",
    "        \n",
    "        # 计算点击位置到所有点的距离\n",
    "        distances = np.sqrt((xdata - event.xdata)**2 + (ydata - event.ydata)**2)\n",
    "        min_idx = np.argmin(distances)\n",
    "        \n",
    "        # 如果这个点更近，更新最近点信息\n",
    "        if distances[min_idx] < min_dist:\n",
    "            min_dist = distances[min_idx]\n",
    "            closest_point = min_idx\n",
    "            data_row = data.iloc[closest_point]\n",
    "            band = 'r' if artist.get_axes() == ax1 else 'g'\n",
    "    \n",
    "    # 设置距离阈值，避免点击空白区域\n",
    "    if min_dist > 0.05:  # 可以根据需要调整这个阈值\n",
    "        annot.set_visible(False)\n",
    "        fig.canvas.draw_idle()\n",
    "        return\n",
    "    \n",
    "    # 获取FITS文件信息\n",
    "    fits_path = data_row.get('fits_path', 'unknown.fits')  # 假设你的DataFrame中有fits_path列\n",
    "    fits_info = get_fits_info(fits_path)\n",
    "    \n",
    "    # 构建显示信息\n",
    "    info_text = (f\"波段: {band}\\n\"\n",
    "                 f\"相位: {event.xdata:.4f}\\n\"\n",
    "                 f\"星等: {data_row['calmag']:.4f} ± {data_row['magerr']:.4f}\\n\"\n",
    "                 f\"MJD: {data_row['mjd']:.4f}\\n\"\n",
    "                 f\"观测时间: {data_row['timestamp']}\\n\"\n",
    "                 f\"\\nFITS文件信息:\\n\"\n",
    "                 f\"日期: {fits_info['DATE-OBS']}\\n\"\n",
    "                 f\"望远镜: {fits_info['TELESCOP']}\\n\"\n",
    "                 f\"仪器: {fits_info['INSTRUME']}\\n\"\n",
    "                 f\"曝光时间: {fits_info['EXPTIME']}s\\n\"\n",
    "                 f\"滤镜: {fits_info['FILTER']}\")\n",
    "    \n",
    "    # 更新注释框\n",
    "    annot.xy = (event.xdata, event.ydata)\n",
    "    annot.set_text(info_text)\n",
    "    annot.set_visible(True)\n",
    "    \n",
    "    # 确保注释框在可见区域内\n",
    "    fig.canvas.draw_idle()\n",
    "\n",
    "# 连接事件处理函数\n",
    "fig.canvas.mpl_connect('button_press_event', on_click)\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "67cf2325",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://pypi.tuna.tsinghua.edu.cn/simple\n",
      "Collecting pyecharts\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/ae/18/383622b338e4f6948ba1b75a8155d748ce097ead08a4163ca763f0ad510e/pyecharts-2.0.8-py3-none-any.whl (153 kB)\n",
      "\u001b[K     |████████████████████████████████| 153 kB 256 kB/s eta 0:00:011\n",
      "\u001b[?25hRequirement already satisfied: jinja2 in /home/yndx/anaconda3/lib/python3.9/site-packages (from pyecharts) (3.1.5)\n",
      "Collecting simplejson\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/09/68/1e81ed83f38906c8859f2b973afb19302357d6003e724a6105cee0f61ec7/simplejson-3.20.1-cp39-cp39-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl (137 kB)\n",
      "\u001b[K     |████████████████████████████████| 137 kB 879 kB/s eta 0:00:01\n",
      "\u001b[?25hCollecting prettytable\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/02/c7/5613524e606ea1688b3bdbf48aa64bafb6d0a4ac3750274c43b6158a390f/prettytable-3.16.0-py3-none-any.whl (33 kB)\n",
      "Requirement already satisfied: MarkupSafe>=2.0 in /home/yndx/anaconda3/lib/python3.9/site-packages (from jinja2->pyecharts) (3.0.2)\n",
      "Requirement already satisfied: wcwidth in /home/yndx/anaconda3/lib/python3.9/site-packages (from prettytable->pyecharts) (0.2.5)\n",
      "Installing collected packages: simplejson, prettytable, pyecharts\n",
      "Successfully installed prettytable-3.16.0 pyecharts-2.0.8 simplejson-3.20.1\n"
     ]
    }
   ],
   "source": [
    "!pip install pyecharts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "86726020",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 确保两波段在相同时间附近有观测，按最近配对 g 和 r 波段的观测点\n",
    "from scipy.spatial import cKDTree\n",
    "\n",
    "# 构建 MJD 和 calmag 映射（仅保留必要列）\n",
    "r_tbl = df_r[['mjd', 'calmag']].dropna().reset_index(drop=True)\n",
    "g_tbl = df_g[['mjd', 'calmag']].dropna().reset_index(drop=True)\n",
    "\n",
    "# 用 KDTree 匹配时间最接近的点\n",
    "tree_r = cKDTree(r_tbl[['mjd']])\n",
    "dists, idxs = tree_r.query(g_tbl[['mjd']], distance_upper_bound=0.01)  # 匹配时间差在0.01天内\n",
    "\n",
    "# 筛选有效匹配点\n",
    "valid = idxs < len(r_tbl)\n",
    "matched_g = g_tbl[valid].copy()\n",
    "matched_r = r_tbl.iloc[idxs[valid]].reset_index(drop=True)\n",
    "\n",
    "# 计算 g - r 颜色\n",
    "matched_g['rmag'] = matched_r['calmag']\n",
    "matched_g['phase'] = (matched_g['mjd'] / true_period) % 1\n",
    "matched_g['g-r'] = matched_g['calmag'] - matched_g['rmag']\n",
    "\n",
    "# 按相位绘图\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.scatter(matched_g['phase'], matched_g['g-r'], color='purple', alpha=0.7)\n",
    "plt.xlabel(\"Phase (folded by 0.394 days)\")\n",
    "plt.ylabel(\"g - r Color\")\n",
    "plt.title(\"Color Variation with Phase\")\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "da0e6aa3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime\n",
    "from scipy.spatial import cKDTree\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "# ========== 参数与数据 ==========\n",
    "true_period = 0.394\n",
    "file_path = \"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result50cm/asteroid_photometry_results.csv\"\n",
    "df = pd.read_csv(file_path)\n",
    "# ⭐ 添加这两行：\n",
    "df['timestamp'] = pd.to_datetime(df['obs_time'])\n",
    "df['mjd'] = (df['timestamp'] - df['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "# ========== 方法一：g为主，匹配r波段 ==========\n",
    "def method1(df):\n",
    "    df_r = df[(df['band'] == 'r') & df['calmag'].notna()].copy()\n",
    "    df_g = df[(df['band'] == 'g') & df['calmag'].notna()].copy()\n",
    "\n",
    "    df_r['mjd'] = (pd.to_datetime(df_r['obs_time']) - pd.to_datetime(df_r['obs_time']).min()).dt.total_seconds() / 86400\n",
    "    df_g['mjd'] = (pd.to_datetime(df_g['obs_time']) - pd.to_datetime(df_g['obs_time']).min()).dt.total_seconds() / 86400\n",
    "\n",
    "    tree_r = cKDTree(df_r[['mjd']])\n",
    "    dists, idxs = tree_r.query(df_g[['mjd']], distance_upper_bound=0.01)\n",
    "    valid = idxs < len(df_r)\n",
    "\n",
    "    g_match = df_g[valid].copy()\n",
    "    r_match = df_r.iloc[idxs[valid]].reset_index(drop=True)\n",
    "    g_match['rmag'] = r_match['calmag'].values\n",
    "    g_match['phase'] = (g_match['mjd'] / true_period) % 1\n",
    "    g_match['g-r'] = g_match['calmag'] - g_match['rmag']\n",
    "    return g_match[['phase', 'g-r']]\n",
    "\n",
    "# ========== 方法二：双向严格匹配 + σ 剔除 ==========\n",
    "def double_sine_model(phase, A1, A2, phi1, phi2, offset):\n",
    "    return A1 * np.sin(2 * np.pi * (phase + phi1)) + A2 * np.sin(4 * np.pi * (phase + phi2)) + offset\n",
    "\n",
    "def method2(df, max_sep=0.01):\n",
    "    df1 = df[df['band'] == 'g'][['mjd', 'calmag']].dropna().copy()\n",
    "    df2 = df[df['band'] == 'r'][['mjd', 'calmag']].dropna().copy()\n",
    "\n",
    "    df1['mjd'] = (pd.to_datetime(df1['mjd'], errors='coerce') if df1['mjd'].dtype == object\n",
    "                  else df1['mjd'].astype(float))\n",
    "    df2['mjd'] = (pd.to_datetime(df2['mjd'], errors='coerce') if df2['mjd'].dtype == object\n",
    "                  else df2['mjd'].astype(float))\n",
    "    # 将 obs_time → mjd，如果还未转换\n",
    "    if 'obs_time' in df.columns:\n",
    "        df['timestamp'] = pd.to_datetime(df['obs_time'])\n",
    "        df['mjd'] = (df['timestamp'] - df['timestamp'].min()).dt.total_seconds() / 86400\n",
    "\n",
    "    df1['mjd'] = df1['mjd'].astype(float)\n",
    "    df2['mjd'] = df2['mjd'].astype(float)\n",
    "\n",
    "    tree = cKDTree(df2[['mjd']])\n",
    "    dists, idxs = tree.query(df1[['mjd']], distance_upper_bound=max_sep)\n",
    "    valid = idxs < len(df2)\n",
    "\n",
    "    df1_valid = df1[valid].copy()\n",
    "    df2_matched = df2.iloc[idxs[valid]].reset_index(drop=True)\n",
    "    df1_valid['rmag'] = df2_matched['calmag'].values\n",
    "    df1_valid['g-r'] = df1_valid['calmag'] - df1_valid['rmag']\n",
    "    df1_valid['phase'] = (df1_valid['mjd'] / true_period) % 1\n",
    "\n",
    "    df1_valid = df1_valid[np.isfinite(df1_valid['g-r'])]\n",
    "    return df1_valid[['phase', 'g-r']]\n",
    "\n",
    "# ========== 绘图对比 ==========\n",
    "data1 = method1(df)\n",
    "data2 = method2(df)\n",
    "\n",
    "plt.figure(figsize=(8, 4.5))\n",
    "plt.scatter(data1['phase'], data1['g-r'], alpha=0.6, label='Method 1: match g→r', s=30, color='royalblue')\n",
    "plt.scatter(data2['phase'], data2['g-r'], alpha=0.6, label='Method 2: strict g↔r', s=30, color='tomato')\n",
    "plt.xlabel(\"Phase (folded by 0.394 days)\")\n",
    "plt.ylabel(\"g - r Color\")\n",
    "plt.title(\"Comparison of g-r Color vs Phase (Two Matching Methods)\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"color_comparison_two_methods.png\", dpi=200)\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "cc67edab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime\n",
    "from scipy.spatial import cKDTree\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "# ========== 参数与数据 ==========\n",
    "true_period = 0.394\n",
    "file_path = \"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result50cm/asteroid_photometry_results.csv\"\n",
    "\n",
    "df = pd.read_csv(file_path)\n",
    "\n",
    "# 添加 mjd 和 timestamp 列（不减最小时间）\n",
    "df['timestamp'] = pd.to_datetime(df['obs_time'])\n",
    "df['mjd'] = df['timestamp'].astype(np.int64) / 1e9 / 86400  # 转为天\n",
    "\n",
    "# ========== 方法一：g为主，匹配最近 r 波段 ==========\n",
    "def method1(df, max_sep=0.01):\n",
    "    df_g = df[(df['band'] == 'g') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "    df_r = df[(df['band'] == 'r') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "\n",
    "    tree_r = cKDTree(df_r[['mjd']])\n",
    "    dists, idxs = tree_r.query(df_g[['mjd']], distance_upper_bound=max_sep)\n",
    "    valid = idxs < len(df_r)\n",
    "\n",
    "    g_match = df_g[valid].copy()\n",
    "    r_match = df_r.iloc[idxs[valid]].reset_index(drop=True)\n",
    "    g_match['rmag'] = r_match['calmag'].values\n",
    "    g_match['g-r'] = g_match['calmag'] - g_match['rmag']\n",
    "    g_match['phase'] = (g_match['mjd'] / true_period) % 1\n",
    "\n",
    "    return g_match[['mjd', 'phase', 'g-r']]\n",
    "\n",
    "# ========== 方法二：严格匹配并可后续 σ 剔除 ==========\n",
    "def method2(df, max_sep=0.01):\n",
    "    df_g = df[(df['band'] == 'g') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "    df_r = df[(df['band'] == 'r') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "\n",
    "    tree_r = cKDTree(df_r[['mjd']])\n",
    "    dists, idxs = tree_r.query(df_g[['mjd']], distance_upper_bound=max_sep)\n",
    "    valid = idxs < len(df_r)\n",
    "\n",
    "    g_match = df_g[valid].copy()\n",
    "    r_match = df_r.iloc[idxs[valid]].reset_index(drop=True)\n",
    "    g_match['rmag'] = r_match['calmag'].values\n",
    "    g_match['g-r'] = g_match['calmag'] - g_match['rmag']\n",
    "    g_match['phase'] = (g_match['mjd'] / true_period) % 1\n",
    "\n",
    "    # 可选：进行 σ 剔除\n",
    "    color_mean = g_match['g-r'].mean()\n",
    "    color_std = g_match['g-r'].std()\n",
    "    g_match = g_match[abs(g_match['g-r'] - color_mean) < 3 * color_std]\n",
    "\n",
    "    return g_match[['mjd', 'phase', 'g-r']]\n",
    "\n",
    "# ========== 绘图对比 ==========\n",
    "data1 = method1(df)\n",
    "data2 = method2(df)\n",
    "\n",
    "plt.figure(figsize=(8, 4.5))\n",
    "plt.scatter(data1['phase'], data1['g-r'], alpha=0.6, label='Method 1: match g→r', s=30, color='royalblue')\n",
    "plt.scatter(data2['phase'], data2['g-r'], alpha=0.6, label='Method 2: clipped g→r', s=30, color='tomato')\n",
    "plt.xlabel(\"Phase (folded by 0.394 days)\")\n",
    "plt.ylabel(\"g - r Color\")\n",
    "plt.title(\"Comparison of g-r Color vs Phase (Updated MJD)\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "# plt.savefig(\"/mnt/data/color_comparison_updated.png\", dpi=200)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "e977de3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime\n",
    "from scipy.spatial import cKDTree\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "# ========== 参数与数据 ==========  \n",
    "true_period = 0.394\n",
    "file_path = \"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result50cm/asteroid_photometry_results.csv\"\n",
    "\n",
    "df = pd.read_csv(file_path)\n",
    "\n",
    "# 添加 mjd 和 timestamp 列（不减去最小时间）\n",
    "df['timestamp'] = pd.to_datetime(df['obs_time'])\n",
    "df['mjd'] = df['timestamp'].astype(np.int64) / 1e9 / 86400  # 秒转天数\n",
    "\n",
    "# ========== 方法一：g主匹配最近 r ==========  \n",
    "def method1(df, max_sep=0.01):\n",
    "    df_g = df[(df['band'] == 'g') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "    df_r = df[(df['band'] == 'r') & df['calmag'].notna()][['mjd', 'calmag']].copy()\n",
    "\n",
    "    tree_r = cKDTree(df_r[['mjd']])\n",
    "    dists, idxs = tree_r.query(df_g[['mjd']], distance_upper_bound=max_sep)\n",
    "    valid = idxs < len(df_r)\n",
    "\n",
    "    g_match = df_g[valid].copy()\n",
    "    r_match = df_r.iloc[idxs[valid]].reset_index(drop=True)\n",
    "    g_match['rmag'] = r_match['calmag'].values\n",
    "    g_match['g-r'] = g_match['calmag'] - g_match['rmag']\n",
    "    g_match['phase'] = (g_match['mjd'] / true_period) % 1\n",
    "\n",
    "    return g_match[['mjd', 'phase', 'g-r']]\n",
    "\n",
    "# ========== 方法二：σ剪裁后的匹配 g→r ==========  \n",
    "def method2(df, max_sep=0.01):\n",
    "    data = method1(df, max_sep=max_sep)\n",
    "    color_mean = data['g-r'].mean()\n",
    "    color_std = data['g-r'].std()\n",
    "    data_clipped = data[np.abs(data['g-r'] - color_mean) < 3 * color_std]\n",
    "    return data_clipped\n",
    "\n",
    "# ========== 方法三：双向匹配（g↔r 最近）==========  \n",
    "def method3_bidirectional(df, max_sep=0.01):\n",
    "    df_g = df[(df['band'] == 'g') & df['calmag'].notna()].copy()\n",
    "    df_r = df[(df['band'] == 'r') & df['calmag'].notna()].copy()\n",
    "\n",
    "    tree_r = cKDTree(df_r[['mjd']])\n",
    "    dists_g2r, idxs_g2r = tree_r.query(df_g[['mjd']], distance_upper_bound=max_sep)\n",
    "\n",
    "    tree_g = cKDTree(df_g[['mjd']])\n",
    "    dists_r2g, idxs_r2g = tree_g.query(df_r[['mjd']], distance_upper_bound=max_sep)\n",
    "\n",
    "    matches = []\n",
    "    for i_g, (idx_r, dist1) in enumerate(zip(idxs_g2r, dists_g2r)):\n",
    "        if idx_r >= len(df_r): continue\n",
    "        # 检查反向匹配是否也指向这个 g\n",
    "        if idxs_r2g[idx_r] == i_g:\n",
    "            g_row = df_g.iloc[i_g]\n",
    "            r_row = df_r.iloc[idx_r]\n",
    "            g_r = g_row['calmag'] - r_row['calmag']\n",
    "            phase = (g_row['mjd'] / true_period) % 1\n",
    "            matches.append({'mjd': g_row['mjd'], 'phase': phase, 'g-r': g_r})\n",
    "\n",
    "    return pd.DataFrame(matches)\n",
    "\n",
    "# ========== 执行三种方法 ==========  \n",
    "data1 = method1(df)\n",
    "data2 = method2(df)\n",
    "data3 = method3_bidirectional(df)\n",
    "\n",
    "# ========== 绘图对比 ==========  \n",
    "plt.figure(figsize=(9, 5))\n",
    "plt.scatter(data1['phase'], data1['g-r'], alpha=0.5, label='Method 1: g→r', s=25, color='royalblue')\n",
    "plt.scatter(data2['phase'], data2['g-r'], alpha=0.5, label='Method 2: g→r (3σ clipped)', s=25, color='tomato')\n",
    "plt.scatter(data3['phase'], data3['g-r'], alpha=0.6, label='Method 3: bidirectional g↔r', s=35, color='seagreen', marker='x')\n",
    "\n",
    "plt.xlabel(\"Phase (folded by 0.394 days)\")\n",
    "plt.ylabel(\"g - r Color\")\n",
    "plt.title(\"Comparison of g-r Color vs Phase (3 Methods)\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
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   "execution_count": null,
   "id": "cf9ce78f",
   "metadata": {},
   "outputs": [],
   "source": []
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